Questions on Algebra: Graphs, graphing equations and inequalities answered by real tutors!

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Question 571302: Scenario: Advertiser's of a new refrigeration process claimed that the temp of a freezer, which starts at -2 degrees Celsius, can be reduced by 1 degree per minute.
To write an expression, define a variable for the time in minutes use this variable to write a rule for the temperature.
I already have a predone graph that goes from 5 to -5 degrees on the vertical and on horizontal it goes from -5 to 5 in time. There is also a predetermined diagonal line on the graph that spans from 3 degrees celsius on the horizon to 3 degrees on the time line and on this line it has a dot at intersecting point -2 celsius and 0 on the minutes, it also has one below that on -3 degrees and 1 on minutes.
At the bottom of the graph the question asks to enter the y intercept of the line and then asks to enter the slope of the line. I'm failing 9th grade algebra and I dont quite understand the question so any help would be greatly appreciated and if you could explain how its done to where I could possibly understand it would be even better. Thank you in advance.
Answer by KMST(579)

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I would say:
"Let x be the time in minutes."
That is defining a variable for the time in minutes. That would be considered your independent variable.
You could also say "Let y be the temperature in degrees Celsius," to define your dependent variable.
Your graph must look like this
drawing%28300%2C300%2C-5%2C5%2C-5%2C5%2C%0D%0Agrid%281%29%2C%0D%0Ablue%28line%28-5%2C3%2C3%2C-5%29%29%2C%0D%0Ared%28circle%280%2C-2%2C0.2%29%29%2Cred%28circle%281%2C-3%2C0.2%29%29%0D%0A%29

drawing%28300%2C300%2C-5%2C5%2C-5%2C5%2C%0D%0Agrid%281%29%2C%0D%0Ablue%28line%28-5%2C3%2C3%2C-5%29%29%2C%0D%0Ared%28circle%280%2C-2%2C0.2%29%29%2Cred%28circle%281%2C-3%2C0.2%29%29%0D%0A%29

and represents the variation of the temperature with time.
It's supposed to help you answer the question.
The upper dot represent the point where the timer is started, and the starting temperature is measured as -2 degrees Celsius.
The lower dot represents the point, one minute later, when the temperature is measured again and we see that it's -3 degrees Celsius.
The temperature was reduced by one degree in one minute as advertised.
From the graph you can also see what the temperature would be at 3,4, an 5 minutes. You can even see what the temperature must have been 5 minutes before the start, at x=-5 minutes, where the line tells you that the temperature was y=3 degrees Celsius.
The "rule for the temperature" that the problem asks for is y=-x-2

.
You can see that y=-x-2

describes that line, because for any point on that line, if you plug into that formula the time (x) for the point, the formula gives you the temperature (y).
For example, at the start, represented by the upper dot, x=0, and the formula for the line calculates
y=-0-2=-2

For the lower dot, x=1, and the formula says y=-1-2=-3

.
For the point at the right end of the graph, x=3, and y=-3-2=-5.
The slope of a line is defined as the change as the independent variable increases by 1. The independent variable is usually called x, and that is what my graph says, but you could call it t.
The slope of your line is -1, because as x increases by 1, the change to y (the temperature) is -1.
The y-intercept is the y value for the point where the line crosses the y-axis. In this case the y-intercept is -2.
In general, the slope can be calculated from the coordinates of two points as difference in the y values divided by the corresponding difference in the x values. The coordinates for the two points marked by dots/circles on the graph are:
for the upper dot: (0,-2) or x=0, y=-2
for the lower dot: (1,-3) or x=1, y=-3
The slope would be calculated as
slope=%28-3-%28-2%29%29%2F%281-0%29=%28-3%2B2%29%2F1=-1%2F1=-1

slope=%28-3-%28-2%29%29%2F%281-0%29=%28-3%2B2%29%2F1=-1%2F1=-1

Question 571181: How would the following equation be represented graphically:
-3x+y=4
Answer by Alan3354(21555)

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How would the following equation be represented graphically:
-3x+y=4
-------------
It's a straight line.

Question 571119: What is the slope and y-intercept of 30x+5y=20
Thanks
Answer by mananth(10541)

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30x+5y =20
5y= 20-30x
/5
y=4-6x
y=-6x+4
compare with y = mx+b
m=-6 the slope
b= 4 = y intercept

Question 571095: six donuts were bruoght at the same price for three dollars what is the greatest number of donuts that can be bought for seven dolars
Answer by stanbon(48516)

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six donuts were bruoght at the same price for three dollars what is the greatest number of donuts that can be bought for seven dolars
----
Unit price: 300 cents/6 = 50 cents per donut
-----
# for $7: 700/50 = 14 donuts
====================================
Cheers,
Stan H.

Question 571004: y+-3/5x+4 does it go down 3 right 4
y=2x-14 does it go up 2 right 1
y=3/7x does it go up 3 left 7
y=5 does it go up 5 left 1
Answer by Alan3354(21555)

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y+-3/5x+4 does it go down 3 right 4
m = -3/5 if it's (-3/5)x --> down 3, right 5
---------------------
y=2x-14 does it go up 2 right 1 Yes
-----------------
y=3/7x does it go up 3 left 7
*** Up 3, right 7
------------------------
y=5 does it go up 5 left 1
No, it's parallel to the x-axis, or "horizontal"

Question 570959: simplify -1[-75-(39-16) ] =
Answer by jim_thompson5910(21667)

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-1[-75-(39-16) ]

-1[-75-(23) ]

-1[-75-23 ]

-1[-98 ]

98

So -1[-75-(39-16) ] = 98

Question 570864: What is the equation of the line which includes points (-3, 2) and (1, 6)
Answer by Alan3354(21555)

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What is the equation of the line which includes points (-3,2) and (1,6)
-----------
Find the slope:
m = diffy/diffx = (6-2)/(1+3) = 1
-----
Use y = mx + b and either point to find b
2 = 1*(-3) + b
b = 5
------
--> y = 1x + 5
y = x + 5
-----------

Question 570690: A number greater than 1 is called a ______ ________.
Answer by richard1234(4789)

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I'm pretty sure there's no name for an arbitrary number greater than 1. I would just say it is "a number greater than 1."

Question 570738: Hello, I am having trouble grasping how to match an inequality with its graph.
EX.- 5y-2x(less than or equal to) 10

Answer by mananth(10541)

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5y-2x%3C=+10

I am not sure whether it is -5x or 5x
5y%3C=2x%2B10

First you have to find the boundary of the line
y=(2/5)x+2
when x=0, y=2 (0,2)
when y=0,x=-5 (0,-5)
plot the points and draw the line
The boundary
drawing%28300%2C300%2C-10%2C10%2C-10%2C10%2Ccircle%280%2C2%2C0.3%29%2Ccircle%28-5%2C0%2C0.3%29%2Cgraph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cy=%282%2F5%29x%2B2%29%29

drawing%28300%2C300%2C-10%2C10%2C-10%2C10%2Ccircle%280%2C2%2C0.3%29%2Ccircle%28-5%2C0%2C0.3%29%2Cgraph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cy=%282%2F5%29x%2B2%29%29

Since there is an = sign the line should not be dotted.
The inequality
drawing%28300%2C300%2C-10%2C10%2C-10%2C10%2Ccircle%280%2C2%2C0.3%29%2Ccircle%28-5%2C0%2C0.3%29%2Cgraph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cy%3C=%282%2F5%29x%2B2%29%29

drawing%28300%2C300%2C-10%2C10%2C-10%2C10%2Ccircle%280%2C2%2C0.3%29%2Ccircle%28-5%2C0%2C0.3%29%2Cgraph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cy%3C=%282%2F5%29x%2B2%29%29

Since y is less than or equal to something the shaded portion contains all the values of x & y. It will be below the line

Question 570735: I've been trying to help my daughter, but it's been too long since I've done any algebra. She is currently in graphs, but this does not seem to fit. Anyway, here is the question posed.
A rectangular hole 2cm wide and x cm long is cut in a rectangular sheet of metal 7/2cm wide and y cm long. The length of the hole is 1 cm less than the length of the metal sheet. After the hole is cut, the area of the remaining metal is 11cm squared. Find the length of the hole and the length of the metal sheet.
I'm math stupid and having a difficult time trying to find help.
Thank you for any suggestions,
Jeff R.
Found 2 solutions by mananth, scott8148:
Answer by mananth(10541)   (Show Source):
You can put this solution on YOUR website!
It is obvious that we have to find the length & width of the hole and the sheet.
the length of hole =x which is 1cm less than the length of the sheet
x=y-1
Area = L*W
width of hole =2cm
Length of hole = x cm

-----
width of sheet = 7/2 cm
length of sheet = y

Area of sheet - area of hole = balance area =11cm^2

substitute x in this equation

multiply the equation by 2 to eliminate the denominator
7y-4(y-1)=22
7y-4y+4=22
3y=18
/3
]y=6 cm
length of sheet = 6 cm
length of hole is 1 less than length of sheet
so length of hole = 6-1 =5 cm

CHECK
area of sheet - area of hole = 11
7/2 * 6 - 5*2=11
11=11

Answer by scott8148(5879)   (Show Source):
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"The length of the hole is 1 cm less than the length of the metal sheet" ___ x + 1 = y

"After the hole is cut, the area of the remaining metal is 11cm squared" ___ (2*x) + 11 = (7/2)*y

substituting ___ 2x + 11 = (7/2)(x + 1) ___ 2x + 11 = (7/2)x + (7/2) ___ 4x + 22 = 7x + 7

solve for x, then substitute back to find y

Question 570712: Can you solve this by graphing?
y = -3x+3
6x+y = 6
The solution set is what? Type an ordered pair ( )

Thank you!
Answer by mananth(10541)   (Show Source):
You can put this solution on YOUR website!
-3 x -1 y = -3................(1)
6 x 1 y = 6.....................2)
equation1 3 = 3
when x= 0, y= 3, ( 0 , 3 )
when y = 0, x= 1, ( 1 , 0 )
Equation 2
when x= 0, y= 6, ( 0 , 6 )
when y = 0, x= 1, ( 1 , 0 )

Solution (1,0)

Question 570299: finding the angle made by a vector with another..
In the following problem,:
a,b,c are three unit vectors such that
ax(bxc)=b/2
all of a,b,c being vectors.find the angle a makes with b and c...(b and c being non-parallel)
used the formulae for cross product but i did not get the solution to this problem.

Answer by Alan3354(21555)   (Show Source):
You can put this solution on YOUR website!
finding the angle made by a vector with another..
In the following problem,:
a,b,c are three unit vectors such that
ax(bxc)=b/2
all of a,b,c being vectors.find the angle a makes with b and c...(b and c being non-parallel)
used the formulae for cross product but i did not get the solution to this problem.
---------------
The cosine of the angle = the cross-product divided by the dot product.

Question 569814: How do you write m=6, b=-4 in slope intercept form?
Answer by richard1234(4789)   (Show Source):
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Assuming m is the slope and b is the y-intercept of a line, then the line is

y = mx + b = 6x - 4

Question 569644: Use a graphing utility to approximate the real solutions, if any, of the given equation rounded to two decimal places. All equations lie between -10 and 10.
x^4 - 3x^3 + 6x - 2=0
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(21555)   (Show Source):
You can put this solution on YOUR website!
Use a graphing utility to approximate the real solutions, if any, of the given equation rounded to two decimal places. All equations lie between -10 and 10.
x^4 - 3x^3 + 6x - 2=0
---------
zero @ ~0.352690127823745
--> 0.35

Answer by josmiceli(6778)   (Show Source):
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Here's the plot:

Question 569689: x=10 How do you come up with answer 10 for x?
Answer by JBarnum(1826)   (Show Source):
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x doesnot equal 10
to prove it put 10 in place of x and solve
.

incorrect
.

correct

Question 569599: (3x+2)(x-5) solve please
Answer by Alan3354(21555)   (Show Source):
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(3x+2)(x-5) solve please
---------
Equations are solved.
That is not an equation.
There's no equal sign --> not an equation.

Question 569548: I'm in a study hall right now and I've gone to the math wing to ask for help but they're in a meeting. my question is, Find the slope of f(x) where 2 <(or equal to) x <(or equal to) 10. There's a graph with this problem but I don't know how I'd show it to you. Thanks!
Answer by bucky(2097)   (Show Source):
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There are a number of considerations in this problem. Do you know how to determine slope of a graph? Do you understand inequalities? Do you know what f(x) means? I'm not sure which of these is causing you difficulty.
.
As far as the inequality is concerned, all that is telling you is that the portion of the graph you are being asked about is where the graph is above region of the x-axis between x = +2 and x = +10 (and all values in between those two limits). Forget about portions of the graph anywhere else because the problem does not want an answer for them. It only asks you to find the slope of the graph where the value of x along the x-axis is greater than (or equal to) +2 and less than (or equal to 10).
.
f(x) is the formula that converts the value of x into a value for y. Although it is not strictly mathematically correct, you can often think of replacing f(x) by y. For example, if you are told:
.
f(x) = 2x + 3
.
You can think of this as being:
.
y = 2x + 3
.
And this may be a little easier for you to work with since that's may be the way you began to work with solving equations and graphing them.
.
Finding the slope means finding the change in y divided by the change in x. Keep in mind that if the graph is rising (meaning y is getting bigger) as the value of x moves to the right along the x-axis, the slope is positive (+). But if the graph is going down as x moves to the right along the x-axis, the slope is negative (-).
.
I am going to assume that the graph you were given is a straight line in the region where x has values of +2 and +10 or any value between those two numbers. If so, then look at the corresponding value of y when x is +2. Next find the corresponding value of y when x is +10. Then you can write the equation:
.

.
Where the subscript identifies the value at the value of the subscript on the x-axis. I hope this isn't confusing. Here's a little better explanation:
.
means the value of x at the point 10 on the x-axis. Obviously this is just +10.
.
means the value of x at the point 2 on the x-axis. It is just 2
.
is the value of y that is above (or below) the 10 on the x-axis. Look on the graph to get this value.
.
Finally, is the value of y that is above (or below) where x is 2 on the x-axis.
.
Just substitute these 4 numbers into the equation for the slope as below:
.

.
The substitutions in the denominator are the ones that you know. And since 10 minus 2 is 8, this simplifies the slope equation to:
.

.
Then you get the corresponding values for y from the graph, substitute them, and solve for the slope.
.
I hope this quick explanation helps you to see your way through to an answer. If it does not, post your problem again. And, if you can, be a little more specific about where you are having difficulty understanding it.
.
.

Question 569430: how do you graph f(x)= -(1/2)
Found 2 solutions by josmiceli, stanbon:
Answer by josmiceli(6778)   (Show Source):
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This is a horizontal line which intersects the vertical axis
at ( 0, -(1/2) )

Answer by stanbon(48516)   (Show Source):
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how do you graph f(x)= -(1/2)
----
Draw a line thru all points where y = -1/2
===============
Cheers,
Stan H.

Question 569129: How do you graph the equation y=x+9 ?
Answer by jim_thompson5910(21667)   (Show Source):
You can put this solution on YOUR website!

Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is

Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point

Now since the slope is comprised of the "rise" over the "run" this means

Also, because the slope is , this means:

which shows us that the rise is 1 and the run is 1. This means that to go from point to point, we can go up 1 and over 1

So starting at , go up 1 unit

and to the right 1 unit to get to the next point

Now draw a line through these points to graph

So this is the graph of through the points and

-------------------------------------------------------------------------------------------------
If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim
-------------------------------------------------------------------------------------------------

Question 569088: solve using either addition or subtraction method
4x-6y= 5
2x-3y= 7
Answer by Alan3354(21555)   (Show Source):
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solve using either addition or subtraction method
4x-6y= 5
2x-3y= 7
------------
Multiply the 2nd eqn by 2.
4x-6y= 5
4x-6y= 7
------------
The lines are parallel, --> inconsistent, no solution.

Question 568933: If I have the inequality: (2 is greater than or equal to X) , would that inequality be expressed with a closed dot on the two, and an arrow pointing to the left, or a closed dot on the two, and an arrow pointing to the right?
Answer by bucky(2097)   (Show Source):
You can put this solution on YOUR website!
What you are trying to do with this problem is to show with dots and arrows the region on the number line where X is allowed to be.
.
For this problem, it may help to reword the inequality. Instead of saying "2 is greater than or equal to X" you can reword it to say the same thing by saying "X is less than or equal to 2." That might make it a little clearer that X can have any value on the number line from 2 and to the left of 2. X can take values of +2, +1, 0, -1, -100, -9,999, and so on, all of which say X is less than (or equal to) 2. And maybe that will also help you to see that 2 is the greatest positive value that X can have. For example, X cannot be 3 because 2 is not greater than 3 and the problem says that 2 is greater than X.
.
Maybe this analysis will help you to see that your first answer is the correct one. Put a closed dot on the 2 and show the arrow pointing to the left where X is allowed to be.
.
I hope this helps you to understand the problem a little better. You had the right idea, but I suspect that the wording used in the problem was just a little confusing to you. Good job, and good luck with your math studies.
.

Question 568714: How would you graph -2y=4x+8? I am not sure where to put the points on the graph?
Answer by solver91311(12118)   (Show Source):
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Step 1. Pick a value for x. It can be anything you like, but 0, 1, or some other small integer usually works well and makes the arithmetic easier.

Step 2. Substitute that value in place of x in your equation. Do the arithmetic and determine the value of y that results.

Step 3. Take the value of x that you selected for step 1 and the value of y that you calculated in step 2 and form an ordered pair (x,y).

Step 4. Plot the ordered pair from Step 3 on your graph. Remember that the x value is the distance right or left along the horizontal axis and the y value is the distance up or down along the vertical axis.

Step 5. Repeat steps 1 through 4 with a different value for x.

Step 6. Draw a line across your graph that passes through the two points that you plotted.

John

My calculator said it, I believe it, that settles it

Question 568516: y+x=3

Answer by jim_thompson5910(21667)   (Show Source):
You can put this solution on YOUR website!
Solving for y, we get

y+x=3

y+x-x=3-x

y = -x+3

Question 568498: 7x+y=6
35x-30=-5y
without graphing answer the following questions about the system.
1. Does the system have one solution, no solution, infinite solution?
2. Is the system inconsistent, are the equations dedendent, or neither?
3. What does the graph look like interesecting lines, one line,Parallel lines?
Answer by stanbon(48516)   (Show Source):
You can put this solution on YOUR website!
7x+y=6
35x-30=-5y
---
solve each equation for "y":
y = -7x+6
y = -7x+6
-------------------
without graphing answer the following questions about the system.
1. Does the system have one solution, no solution, infinite solution?
Ans: infinite
---------------------
2. Is the system inconsistent, are the equations dependent, or neither?
Ans: dependent
----------------------
3. What does the graph look like interesecting lines, one line,Parallel lines?
Ans: One line
===================
Cheers,
Stan H.
==============

Question 568350: The order pair (1, -2) is a solution of the following system:
x + y = -3
x - y = 1
Answer by richard1234(4789)   (Show Source):
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No it's not...if you replace x = 1, y = -2 into the equations, both of them are false.

Question 567551: What is the equation of the line which includes points (1,5) and (-2,-7)?
Answer by lwsshak3(2915)   (Show Source):
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What is the equation of the line which includes points (1,5) and (-2,-7)?
**
Standard form of equation for a straight line: y=mx+b, m=slope, b=y-intercept
slope,m,=∆y/∆x=change in y/change in x=rise/run
using two given points
m=(-7-5)/(-2-1)=-12/-3=4
equation: y=4x+b
solving for b using one of given points(1,5)
5=4*1+b
b=1
equation of line:
y=4x=1

Question 567544: Are the graphs of the lines in each pair parallel? Explain.
Y = -3/2x + 2
3x + 2y = 8
Answer by unlockmath(1120)   (Show Source):
You can put this solution on YOUR website!
Hello,
Let's get both equations in Slope-intercept form first.
Y = -3/2x + 2
3x + 2y = 8
2y=-3x+8
y=-3/2x+8
As we can see both equations have a slope of -3/2 so both lines are parallel.
Make sense?
RJ
www.math-unlock.com

Question 567452: How many ordered pairs should one find as solutions to a linear equation with two variables? Please explain.
Answer by richard1234(4789)   (Show Source):
You can put this solution on YOUR website!
A linear equation, such as 5x+3y = 8, will contain infinitely many solutions (all solutions lie on that line).

Question 567454: What type of line would be impossible to find its equation using the point-slope form method? Why?
Answer by richard1234(4789)   (Show Source):
You can put this solution on YOUR website!
vertical, because the slope is undefined.

Question 567462: y < 3x + 2
y >= -2x + 0
i have to get the solution i was given a hint: the point lays on line with the equation; y = -2 + 4x
IT MAKES NO SENSE
pliz help me :/

Answer by scott8148(5879)   (Show Source):
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why add zero? ___ is it a learning format thing...?

plot the two lines ___ the < is dotted and the ≥ is solid ___ plot them like equations

the lines will intersect and divide the graph into four zones

pick a point in each zone and substitute the x and y values into the inequalities ___ only one zone will work in both
___ this is the solution ___ it is not a point, it is a zone

Question 567453: Describe how you would determine an equation for a line given the ordered pairs for two points on that line.
Answer by mananth(10541)   (Show Source):
You can put this solution on YOUR website!

Let the points be (x1,y1) & (x2,y2)
x1 y1 x2 y2
3 2 2 1

slope m =(y2-y1)/(x2-x1)
( 1 - 2 )/( 2 - 3 )
( -1 / -1 )
m= 1

Plug value of the slope and point ( 3 ,2 ) in
Y = m x + b
2.00 = 3 + b
b= 2 - 3
b= -1
So the equation will be
Y = 1 x -1
m.ananth@hotmail.ca

Question 567457: If you were given an equation and asked to find a line parallel to that line that passes through a certain given point, how would you determine the equation for that parallel line?
Answer by nyc_function(2626)   (Show Source):
You can put this solution on YOUR website!
The three basic steps are found at the link below.

http://www.ehow.com/how_5080986_write-xy-algebra-student-nurses.html

If you have a specific example in this regard, write back.

Question 567294: How do you solve x=2 and 3x + 2y = 4
Answer by Alan3354(21555)   (Show Source):
You can put this solution on YOUR website!
How do you solve x=2 and 3x + 2y = 4
-----------
Solving for x is easy
x = 2
-----
Sub 2 for x in the 2nd equation:
3*2 + 2y = 4
2y = -2
y = -1

Question 567166: Helping my daughter and I am totally confused on all of this. PLEASE HELP!!! The problem is 8x+4y=28. She was told to find y,slope, & y intercept. Any help would be greatly appreciated!!

Thanks,
Stressed Out Mom
Answer by nottohave(4)   (Show Source):
You can put this solution on YOUR website!
To find y, solve for y
8x +4y=28
After Minus 8x both side.
4y=28-8x
After Divide 4 on both side -> y =7-2x
Slope formula: m= rise/run. Linear equa.: y= (m)(x)+b so slope is m= -2.
Y-intercept is when x=0. y= 7-2(0)-> y= 7
X-intercept is when y=0.

Question 6505: Dear Sir/Madam,
I am confronted with the following problem:
"Where does the graph of y = 2 + 2^x cross the y-axis?"
Is there a way of solving this without graphing the function?
Thanks in advance.
Regards,
-Mike
Answer by dval9159(1)   (Show Source):
You can put this solution on YOUR website!
y=2+2^(x)
To find the y-intercept, substitute in 0 for x and solve for y.
y=2+2^(0)
Any number raised to the power of 0 is 1.
y=2+1
Solve the equation.
y=3
These are the x and y intercepts of the equation y=2+2^(x).
y=3
It crosses the y intercept at 0,3
To graph this equation you must also solve for x.
The x intercept is 1,0

Question 567076: Solve each system using subsitution
2x+2y=38
y=x+3
Answer by bulls400(6)   (Show Source):
You can put this solution on YOUR website!
x=8
y=11

Question 567017: 2x-5y=50
y=7-3x
Answer by mananth(10541)   (Show Source):
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2 x -5 y = 50 .............1
3 x + 1 y = 7 .............2
Eliminate y
multiply (1)by 1
Multiply (2) by 5
2 x -5 y = 50
15 x 5 y = 35
Add the two equations
17 x = 85
/ 17
x = 5
plug value of x in (1)
2 x + -5 y = 50
10 + -5 y = 50
-5 y = 50-10
-5 y = 40
y = -8

Question 567030: how do i graph x+y=-5?
Answer by mananth(10541)   (Show Source):
You can put this solution on YOUR website!
x+y =-5
find the y & X intercepts
when x=0, y=-5 (0,-5)
when y = 0 x=-5 (-5,0)
Plot these points and draw the line graph which represents the equation

Question 566682: How would you graph
y= -4
Answer by Alan3354(21555)   (Show Source):
You can put this solution on YOUR website!
How would you graph
y= -4
------------
It's a straight line, so I would plot 2 points.
Pick 2 values for x.
eg, x = 0 --> (0,-4)
x = 10 --> (10,-4)
Plot the points, draw a line thru them.

Question 566510: solve:
(x + 1)(x + 1) + (x + 2)(x + 2) = 5
Answer by josmiceli(6778)   (Show Source):
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Subtract from both sides

-----------
check:

and

OK

Question 566455: 3x-6=2y if x is 8 what point(ordered pairs) satisfies the equation
Answer by mananth(10541)   (Show Source):
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(8,9)

Question 566450: write the equation of a line perpendicular to y=4x-2 and passing through the points(4,2)
Answer by mananth(10541)   (Show Source):
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1 y = 4 x -2
Divide by 1
y = 4 x + -2
Compare this equation with y=mx+b
slope m = 4

The slope of a line perpendicular to the above line will be the negative reciprocal
m1*m2=-1

m= - 1/4 ,point ( 4 , 2 )
Find b by plugging the values of m & the point in
y=mx+b
2=-1 + b
b= 3
m= - 1/4
The required equation is y=- ( 1/ 4)x+3
m.ananth@hotmail.ca