Questions on Algebra: Coordinate systems, graph plotting, etc answered by real tutors!

Tutors Answer Your Questions about Coordinate-system (FREE)

Question 571672: h=-2t^2=? I must plot over the Range -3 to 3
Answer by Alan3354(21580)

You can put this solution on YOUR website!
h=-2t^2=? I must plot over the Range -3 to 3
----------
Pick values for t and find h
Do as many points as you need.
Plot them, draw a smooth curve thru them.

Question 570218: -2x+3y=6 graph the equation

Answer by Alan3354(21580)

(Show Source):

You can put this solution on YOUR website!
-2x+3y=6 graph the equation
-------
It's a straight line, so you need 2 points.
Find x when y = 0
Find y when x = 0
Plot them, draw a line thru them

Question 570151: Find the equation of the line passing through (-1,1) and parallel to x+2y-13=0. Give answer in slope-intercept form. (y=mx+b)
Answer by nerdybill(5404)

(Show Source):

You can put this solution on YOUR website!
Find the equation of the line passing through (-1,1) and parallel to x+2y-13=0. Give answer in slope-intercept form. (y=mx+b)
Begin by determining slope of:
x+2y-13=0
2y-13=-x
2y=-x+13
y=(-1/2)x + 13/2
slope is -1/2
.
plug slope (-1/2) and given point (-1,1) into "point-slope" form:
y - y1 = m(x - x1)
y - 1 = (-1/2)(x - (-1))
y - 1 = (-1/2)(x + 1)
y - 1 = (-1/2)x - 1/2
y = (-1/2)x - 1/2 + 1
y = (-1/2)x - 1/2 + 2/2
y = (-1/2)x + 1/2 (this is what they're looking for)

Question 570066: What does x-y=1 look like on a graph?

Answer by stanbon(48517)

(Show Source):

You can put this solution on YOUR website!
What does x-y=1 look like on a graph?
---
y = x-1
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cx-1%29

Cheers,
Stan H.
------------

Question 568612: My center 8,-1 & my radius is 4. How do I solve for x & y intercepts and graph it?
Answer by AnlytcPhil(1116)

(Show Source):

You can put this solution on YOUR website!
My center (8,-1) & my radius is 4. How do I solve for x & y intercepts and graph it?

The equation of a circle with center (h,k) and radius r is

(x - h)² + (y - k)² = r²

(h,k) = (-8,-1) and r = 4, so the equation is

(x - 8)² + (y - (-1))² = 4²

(x - 8)² + (y + 1)² = 16

The graph is

 

The x-intercepts are when y=0, so we substitute y=0 in

(x - 8)² + (0 + 1)² = 16
       (x - 8)² + 1 = 16
           (x - 8)² = 15

Use the principles of square roots:

              x - 8 = ±

                  x = 8 ± 

The x-intercepts are 

    (, 0) and (, 0)

which are approximately (4.13,0) and (11.87,0)

Edwin

Question 568526: I'm trying to find the center, radius, & intercepts of the circle with the given equation.
x^2+y^2-16x+2y+49=0

Answer by lwsshak3(2915)

(Show Source):

You can put this solution on YOUR website!
I'm trying to find the center, radius, & intercepts of the circle with the given equation.
x^2+y^2-16x+2y+49=0
complete the squares
(x^2-16x+64)+(y^2+2y+1)=-49+64+1=16
(x-8)^2+(y+1)^2=16
center: (8,-1)
radius: √16=4
..
to find x-intercepts, set y=0, then solve for x
x^2-16x+49=0
solving by following quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

a=1, b=-16, c=49
answers:
x≈4.13 and 11.90
..
To find y-intercepts, set x=0, then solve for y
y^2+2y+49=0
discriminant=b^2-4*a*c =2^2-4*1*49=-192<0
therefore, y-intercept: none

Question 568189: Question: Find the common solution of y=x^2-1 and x+y=1, graphically. Thank you for your help!
Answer by mananth(10541)

(Show Source):

You can put this solution on YOUR website!
y=x^2-1 and x+y=1
y=x^2-1
this is a parabola
generate values of x& y
x=0, y=-1 (0,-1)
y=0,x=1 (1,0)
x=-2, y=3 (-2,3)
x=2,y=3 (2,3)
and x+y=1
x=0,y=1 (0,1)
y=0,x=1(1,0)
Plot the points draw the curve and the straight line
drawing%28300%2C300%2C-10%2C10%2C-10%2C10%2Ccircle%280%2C-1%2C0.3%29%2Ccircle%281%2C0%2C0.3%29%2Ccircle%28-2%2C3%2C0.3%29%2Ccircle%282%2C3%2C0.3%29%2Ccircle%280%2C1%2C0.3%29%2Ccircle%281%2C0%2C0.3%29%2Ccircle%28-1%2C0%2C0.3%29%2Ccircle%28-2%2C3%2C0.3%29grid%281%29%2Cgraph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cy=x%5E2-1%2Cy=-x%2B1%29%29

drawing%28300%2C300%2C-10%2C10%2C-10%2C10%2Ccircle%280%2C-1%2C0.3%29%2Ccircle%281%2C0%2C0.3%29%2Ccircle%28-2%2C3%2C0.3%29%2Ccircle%282%2C3%2C0.3%29%2Ccircle%280%2C1%2C0.3%29%2Ccircle%281%2C0%2C0.3%29%2Ccircle%28-1%2C0%2C0.3%29%2Ccircle%28-2%2C3%2C0.3%29grid%281%29%2Cgraph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cy=x%5E2-1%2Cy=-x%2B1%29%29

The solutions are (1,0) , (-2,3)
m.ananth@hotmail.ca

Question 567864: For the points P and Q do the following.
(a) Find the distance d(P,Q)
(b) Find the coordinates of the midpoint M of the segment PQ
p(5√(3),7√(5)), Q(√(3),-√(5))
Answer by mananth(10541)

(Show Source):

You can put this solution on YOUR website!
x1 y1 x2 y2
d= sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29

5sqrt(3) 7sqrt(5) Sqrt(3) -sqrt(5)
d= -sqrt%28%28%285%29-7sqrt%285%29%29%5E2%2B%28sqrt%283%29-5sqrt%283%29%29%5E2%29%29

sqrt%28%28-8sqrt%285%29%29%5E2%2B%28-4sqrt%283%29%29%5E2%29

d=19.1
use the mid point formula
M : %28%28x1%2Bx2%29%2F2%29%28%28y1%2By2%29%2F2%29

Question 567758: what is the slope of a line parallel to 30x-5y=10
Answer by stanbon(48517)

(Show Source):

You can put this solution on YOUR website!
what is the slope of a line parallel to 30x-5y=10
------
solve for "y":
5y = 30x-10
y = 6x-2
-----------
slope = 6
===========================================
Cheers,
Stan H.
==================

Question 567545: Find the area bounded by the x- axis,and the line 5x+12y+60=0. Please show me the steps.
Answer by richard1234(4789)

(Show Source):

You can put this solution on YOUR website!
Undefined, the x-axis and that line don't bound any region.

Question 567425: find the midpoint for (-1/3,1/3) and (-7/3,-5/3)
Answer by josmiceli(6781)

(Show Source):

You can put this solution on YOUR website!
(-1/3,1/3) and (-7/3,-5/3)
First, find the midpoint of the x-coordinates
+%28+-7%2F3+%2B+%28-1%2F3%29+%29+%2F+2+

---------------------
+%28-8%2F3%29+%2F+2+

-------------
+-8%2F6+=+-4%2F3+

----------------
Then find the midpoint of the y-coordinates
+%28+-5%2F3+%2B+1%2F3+%29+%2F+2+

-------------------
+%28-4%2F3%29%2F2+

-----------
+-2%2F3+

--------
The midpoint is (-4/3, -2/3 )

Question 567194: how to graph y=1/2x - 3 ?
Answer by Alan3354(21580)

(Show Source):

You can put this solution on YOUR website!
how to graph y=1/2x - 3 ?
-----------------
Same as always
Pick 2 values for x and find y
Plot 2 points, all you need for a straight line
Draw a line thru them

Question 566695: 215. Give the rectangular coordinates: (2, 45°)
Answer Choices:
A)(√5, √5) C)(√3, √3)
B)(√2, √2) D)(2, 2)

216. Give the rectangular coordinates: (-6, -150°).
Answer Choices:
A)(3√3, 3) C)(3, 3√3)
B)(-3√3, 3) D)(-3, 3√3)

217. Give the polar coordinates: (-2, 2).
Anser Choices:
A)(2√2, 135°) C)(135, 2√2°)
B)(2√2, 135) D)(135, 2√2)

218. Give the polar coordinates: (-√2, -√2).
Answer Choices:
A)(2, 225) C)(225, 2)
B)(2, 225°) D)(225, 2°)

219. Give the polar coordinates: (-1, √3).
Answer Choices:
A)(2, 120°) C)(120, 2°)
B)(2, 120) D)(120, 2)

Answer by Alan3354(21580)

(Show Source):

You can put this solution on YOUR website!
215. Give the rectangular coordinates: (2, 45°)
Answer Choices:
A)(√5, √5) C)(√3, √3)
B)(√2, √2) D)(2,2)
-----------
x+=+r%2Asin%2845%29+=+2%2Asqrt%282%29%2F2+=+sqrt%282%29

x+=+r%2Asin%2845%29+=+2%2Asqrt%282%29%2F2+=+sqrt%282%29

y+=+r%2Acos%2845%29+=+2%2Asqrt%282%29%2F2+=+sqrt%282%29

--> (sqrt(2),sqrt(2))
------------------
216. Give the rectangular coordinates: (-6, -150°).
Answer Choices:
A)(3√3, 3) C)(3, 3√3)
B)(-3√3, 3) D)(-3, 3√3)
Do it like 215 above. You sure that's -6 ?
=======================
217. Give the polar coordinates: (-2, 2).
Anser Choices:
A)(2√2, 135°) C)(135, 2√2°)
B)(2√2, 135) D)(135, 2√2)
----------
r+=+sqrt%28%28-2%29%5E2+%2B+2%5E2%29+=+2sqrt%282%29

r+=+sqrt%28%28-2%29%5E2+%2B+2%5E2%29+=+2sqrt%282%29

angle = arctan(y/x) = arctan(-1) = 135 degs
-----
--> (2sqrt(2),135)
=======================
218. Give the polar coordinates: (-√2, -√2).
Answer Choices:
A)(2, 225) C)(225, 2)
B)(2, 225°) D)(225, 2°)

219. Give the polar coordinates: (-1, √3).
Answer Choices:
A)(2, 120°) C)(120, 2°)
B)(2, 120) D)(120, 2)

Question 566542: i am trying to put equations in y=mx+b form then graph both equations then find the intersection point.
5x + y = 0
-5x - 2y = 10
Found 2 solutions by stanbon, mananth:
Answer by stanbon(48517)   (Show Source):
You can put this solution on YOUR website!
put equations in y=mx+b form then graph both equations then find the intersection point.
5x + y = 0
Subtract 5x from both sides:
y = -5x
---------
-5x - 2y = 10
Add 2y to both sides:
2y + 10 = -5x
Subtract 10 from both sides:
2y = -5x-10
Divide both sides by 2 to get:
y = (-5/2)x - 5
---------------
Graph both lines on the same set of axes:

====================
Solution: (2,-10)
=============================
Cheers,
Stan H.

Answer by mananth(10541)   (Show Source):
You can put this solution on YOUR website!
5 x + 1 y = 0
y=-5x.............1
-5 x -2 y = 10
2y=-5x-10
/2
y=(-5/2)x-5 .............2
Find the intercepts of these two lines by plugging x=0 & y=0
equation1
when x= 0, y=0,(0,0)
when y = 0,x=0(0,0)
Equation 2
when x= 0, y=-5(0,-5)
when y = 0,x=-2(-2,0)

The point of intersection is (2,-10)

Question 566123: what equatiion represents a lne that s parallel to the line y= -4x+5 ?

Answer by TutorDelphia(189)   (Show Source):
You can put this solution on YOUR website!
If two lines have the same slope than they are parallel.
Since the line you mentioned is in slope intercept form (y=mx+b) it's easy to see that the slope (m) is -4
So any equation with a slope of -4 will be parallel. For example y=-4x+2

Question 565991: Topic : Co-ordinate Geometry
(Q) A line passes through the points with co-ordinates (k,2k-3) and (2-k,k-2),
where k is a constant.
(a) show that the gradient of the line is 1/2 ?
(b) find, in terms of k, an equation of the line ?
Answer by mananth(10541)   (Show Source):
You can put this solution on YOUR website!
(k,2k-3) and (2-k,k-2),
Slope m = (y2-y1)/(x2-x1)
m=

m=
m=

m=
m= 1/2

slope = 1/2 & point ( (k,(2k-3))

2k-3= (1/2)*k +b
2k-3-(1/2)k=b
multiply equation by 2
4k-6-k=2b
(3k-6)=2b
3(k-2)=2b
3(k-3)/2 =b
Frame the equation
y = (1/2) x +3(k-2)/2

Question 565078: y = 2x + 1
x + y = -2
How do you graph it?
Answer by Alan3354(21580)   (Show Source):
You can put this solution on YOUR website!
y = 2x + 1
x + y = -2
How do you graph it?
--------------------
There are 2 equations, so the question should be, "How do you graph them?"
----------
Both are straight lines, so you need 2 points.
---
y = 2x + 1
Pick 2 values for x and find y.
Plot the 2 points.
Draw a line thru them.
=====================
Do the same for the other equation.

Question 564967: The paper is asking for me to write the equation of the line whose slope is 1/5 and whose y-intercept is 4. How would I do this and show the work?
Answer by Alan3354(21580)   (Show Source):
You can put this solution on YOUR website!
The paper is asking for me to write the equation of the line whose slope is 1/5 and whose y-intercept is 4. How would I do this and show the work?
----------
y = mx + b is the slope-intercept form
m is the slope, and b is the y-intercept
---------
The eqn is
y = (1/5)x + 4
Not much work to show.
--------
You can put it in standard form:
x - 5y = -20

Question 564376: please help me solve this with steps on how to do these problems.. I don't really understand where to begin..
the instructions state:
Find the EQUATION of the line with the given slope and passing through the given point. Your answer should be in slope-intercept form: y = mx + b
the problem:
m = 2/3; (3,-3)
Answer by ad_alta(170)   (Show Source):
You can put this solution on YOUR website!
Since we know the slope is 2/3, all we need is 'b.' Therefore y=(2/3)x+b. We know (3,-3) is on the line, so it must satisfy the equation. Thus, -3=(2/3)(3)+b gives b=-5. The equation is y=(2/3)x-5. That's all there is to it!

Question 564360: What is the vertical intercept of the line P = 3 - (1/6)Q?
Answer by Alan3354(21580)   (Show Source):
You can put this solution on YOUR website!
What is the vertical intercept of the line P = 3 - (1/6)Q?
----------
Which axis is vertical?
What if you rotate the paper, then the other one is vertical.

Question 563208: 6y=-12
Answer by Alan3354(21580)   (Show Source):
You can put this solution on YOUR website!
6y=-12
---------
Thx for letting us know.
Do you have a question?

Question 561737: how would i go about graphing y = 2 x - 3
Answer by Alan3354(21580)   (Show Source):
You can put this solution on YOUR website!
how would i go about graphing y = 2 x - 3
--------
Pick 2 values for x, and find y.
Plot the 2 points.
Draw a line thru them.

Question 560017: I need help with this question:
Choose the equation below that represents the line passing through the point (-2, -3)with a slope of -6.
Answer by jim_thompson5910(21667)   (Show Source):
You can put this solution on YOUR website!

So the equation of the line is

Question 558271: The question is: If a person is going to buy a blu-ray player for 149.00 and would buy movies that cost 25.00 each. create a graph to represent the total cost. it needs to be a line graph or scatterplot. and i need to find the slop
I have tried to asking people for help and online im confussed by this question. Please help me. Thank so very much for your time.

Answer by scott8148(5880)   (Show Source):
You can put this solution on YOUR website!
c = 25 m + 149

the vertical axis intercept is the cost of the player

the slope is the cost per movie

a scatter plot might be best
___ even though the relation is linear, the cost is only "real" at whole number (integer) values for movies (you don't buy half a movie)

Question 558061: plot equation by plotting points "35-5y=0"

Answer by richard1234(4789)   (Show Source):
You can put this solution on YOUR website!
y = 7

The only points (x,y) that satisfy are ones where y = 7 (in other words, (x,7)). You should obtain a horizontal line.

Question 558188: We are trying to figure out how to solve the question- we don't want the answer just the steps needed to proceed.
Find the slope of each line and tell whether the lines are parallel, perpendicular, or neither
y=3x+1
y=3x-3
Found 3 solutions by rapaljer, edjones, rfer:
Answer by rapaljer(4551)   (Show Source):
You can put this solution on YOUR website!
When the equation of a line is in the form y=mx+b, the slope of the line is the coefficient of x, which is m. In your problem, the coefficient of x for both lines is 3, so the slope is 3 for both lines.

If the slopes of two lines is the SAME, then the lines are PARALLEL.

For additional help with this, please see my own FREE website. To go to my website, use the easy-to-spell and easy-to-remember ;ink www.mathinlivingcolor.com. At the very bottom of this page, there is a link that will take you to my Homepage.

Once you are on my Homepage, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time." Choose "Intermediate Algebra", and look in Chapter 5 for "Section 5.02 Slope, Midpoint, Distance Formula."

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus

Answer by edjones(7311)   (Show Source):
You can put this solution on YOUR website!
The slope of both is 3 (the number before the x) so they are parallel.

Answer by rfer(10417)   (Show Source):
You can put this solution on YOUR website!
slope m=3
parallel

Question 558187: How do I find all points 5 units away from (4,-4)
Answer by richard1234(4789)   (Show Source):
You can put this solution on YOUR website!
The set of all points would be a circle of radius 5 centered at (4,-4).

Question 557695: How do you solve this linear equation using substitution?
X-y=11
5x-4y=5
Found 2 solutions by mananth, stanbon:
Answer by mananth(10541)   (Show Source):
You can put this solution on YOUR website!
5 x -4 y = 5 .............1
1 y = 11 -1 x ---------2
/ 1 =
y = 11 -1 x
Substitute y in (1)
5 x -4 ( 11 -1 x ) =
5 x -44 + 4 x = 5
5 x + 4 x = 5 44
9 x = 49
/ 9
x= 49/9
Plug the value of x in (1)
5 x -4 y = 5
5 * 49/9 -4 y = 5
245/9 -4 y = 5
-4 y = 5-(249/9)
-4y=-204/9
/ -4
y= 51/9
m.ananth@hotmail.ca

Answer by stanbon(48517)   (Show Source):
You can put this solution on YOUR website!
How do you solve this linear equation using substitution?
X-y=11
5x-4y=5
----
x = y+11
----
Substitute for "x" and solve for "y":
5(y+11)-4y = 5
5y+55-4y = 5
y = -50
-----
Solve for "x":
x = y + 11
x = -50 + 11 = -39
----------------------
Cheers,
Stan H.
=======================

Question 556013: find the point (x,y) on the line y+-4x-5 that is equidistant from the points (8,-10) and (-7,0)
Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(6781)   (Show Source):
You can put this solution on YOUR website!
(1)
(2)
-------------
This is 2 equations and 2 unknowns, so it's solvable
(1)
and
(2)
(2)
(2)
(2)
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
(1)
(x,y) = (-3/10, -31/5 )
---------------------
check:
(1)
(1)
(1)
(1)
(1)
OK
(2)
(2)
(2)
(2)
(2)
(2)
OK

Answer by Alan3354(21580)   (Show Source):
You can put this solution on YOUR website!
Still no equal sign

Question 555572: (π,0),(π/2,1) finding the distance between two points.
I don't understand how the pi can be simplified to use in the distance formula.
Answer by mathstutor494(92)   (Show Source):
You can put this solution on YOUR website!
Substitute pi by its numeric value i.e. 3.14
So the 2 points are (3.14,0), ( 1.57,1)
Now apply Distance Formula

Question 554904: how can i resolve the problem= (4,2),(-6,7) i have to find the equation.
Answer by jim_thompson5910(21667)   (Show Source):
You can put this solution on YOUR website!

First let's find the slope of the line through the points and

Note: is the first point . So this means that and .
Also, is the second point . So this means that and .

Start with the slope formula.

Plug in , , , and

Subtract from to get

Subtract from to get

Reduce

So the slope of the line that goes through the points and is

Now let's use the point slope formula:

Start with the point slope formula

Plug in , , and

Distribute

Multiply

Add 2 to both sides.

Combine like terms.

So the equation that goes through the points and is

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 554853: Solve the system by graphing: 3x + y = 5
-x + 2y = -4
Answer by jim_thompson5910(21667)   (Show Source):
You can put this solution on YOUR website!

Solved by pluggable solver: Solve the System of Equations by Graphing

Start with the given system of equations:

In order to graph these equations, we need to solve for y for each equation.

So let's solve for y on the first equation

Start with the given equation

Subtract from both sides

Rearrange the equation

Divide both sides by

Break up the fraction

Reduce

Now lets graph (note: if you need help with graphing, check out this solver)

Graph of

So let's solve for y on the second equation

Start with the given equation

Add to both sides

Rearrange the equation

Divide both sides by

Break up the fraction

Reduce

Now lets add the graph of to our first plot to get:

Graph of (red) and (green)

From the graph, we can see that the two lines intersect at the point (,) (note: you might have to adjust the window to see the intersection)

Question 554779: find the slope and y-intercept for y=2x+7
Answer by jim_thompson5910(21667)   (Show Source):
You can put this solution on YOUR website!
The slope and y intercept for y = mx+b is m and (0, b) respectively.

From y = 2x+7, we see that m = 2 and b = 7

So the slope is 2 and the y-intercept is (0, 7)

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 553555: No idea if I am asking this in the correct area.
We are solving for coordinates to map on the Rectangular Coordinate section. I'm not very good at this and have chosen a practice problem to see broken down.
8x + 2/9Y = 29 Solving for ( ,18)
Answer by ankor@dixie-net.com(12689)   (Show Source):
You can put this solution on YOUR website!
8x + Y = 29 Solving for ( ,18)
replace y with 18, find x
8x + (18) = 29
8x + 2(2) = 29
8x + 4 = 29
8x = 29 - 4
8x = 25
x =
x = 3.125
:
The ordered pair for this equation would be: 3.125, 18

Question 553428: what is the answer to 5(1.2x+3y-5.5)and how do u work it
Answer by Theo(2967)   (Show Source):
You can put this solution on YOUR website!
this looks like a distributive type of problem.
with the distributive property of algebraic operations, you get:
a(b + c + d) = ab + ac + ad
in your problem:
a = 5
b = 1.2x
c = 3y
d = -5.5
you get:
5(1.2x + 3y - 5.5) becomes:
5(1.2x) + 5(3y) - 5(5.5) which becomes:
6x + 15y - 27.5

Question 553386: -(-0.7.25) turn it into a whole number?

Answer by Alan3354(21580)   (Show Source):
You can put this solution on YOUR website!
-(-0.7.25) turn it into a whole number?
Too many decimal points.

Question 552835: Solve the system using substitution.
y = 3x - 6
-3x + y = -6
Answer by Alan3354(21580)   (Show Source):
You can put this solution on YOUR website!
Solve the system using substitution.
y = 3x - 6
-3x + y = -6
-----
Sub for y in the 2nd eqn:
-3x + (3x-6) = -6
-6 = -6
--------
--> Dependent. The 2 eqns are the same, no unique solution.

Question 552507: Given the linear equation y=-4/7x-5, find the y-coordinates of the points(-7, )
(0, )(7, ).Put those points and graph the linear equation.
Answer by Alan3354(21580)   (Show Source):
You can put this solution on YOUR website!
Given the linear equation y=-4/7x-5, find the y-coordinates of the points(-7, )
(0, )(7, ).Put those points and graph the linear equation.
---------------
y = (-4/7)x - 5
Sub -7 for x, find y. Plot the point.
----
Sub 0 for x, find y. Plot the point.
Draw a line thru them.

Question 552404: how do i write an equation that is parallel to y=-1/2x+4 that goes through these points (-3,5)

Found 2 solutions by mananth, TutorDelphia:
Answer by mananth(10541)   (Show Source):
You can put this solution on YOUR website!
y=-0.5x+4

Compare this equation with y=mx+b
slope m = -0.5
The slope of a line parallel to the above line will be the same
The slope of the required line will be -0.5
m= -1/2 ,point ( -3 , 5 )
Find b by plugging the values of m & the point in
y=mx+b
5 = 3/2 + b
b= 7/2
m= -1/2
Plug value of the slope and b in y = mx +b
The required equation isy = - 1/ 2x +7/2
m.ananth@hotmail.ca

Answer by TutorDelphia(189)   (Show Source):
You can put this solution on YOUR website!
parallel equations always have the same slope
since the equation you have is in slope intercept form we know the slope is -1/2
So far we know y=(-1/2)x+b
but we don't know b, the intercept so just plug in x and y from your point and solve for b
5=(-1/2)(-3)+b
5=3/2+b
10/2=3/2+b
7/2=b
y=(-1/2)x+7/2
As you can see our lines are parallel