SOLUTION: I have a homework and I don't know how to resolve can you helpme please
(8,2).m= - 3/4
(4,-5),m= - 1/2
write an equation of a line that passes through the y
Algebra.Com
Question 115225: I have a homework and I don't know how to resolve can you helpme please
(8,2).m= - 3/4
(4,-5),m= - 1/2
write an equation of a line that passes through the y-intercept -3 with slope 2.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
#1
If you want to find the equation of line with a given a slope of which goes through the point (,), you can simply use the point-slope formula to find the equation:
---Point-Slope Formula---
where is the slope, and )
is the given point
So lets use the Point-Slope Formula to find the equation of the line
Plug in , , and (these values are given)
Distribute
Multiply and to get
Add 2 to both sides to isolate y
Combine like terms and to get
------------------------------------------------------------------------------------------------------------
Answer:
So the equation of the line with a slope of which goes through the point (,) is:
which is now in form where the slope is and the y-intercept is
Notice if we graph the equation and plot the point (,), we get (note: if you need help with graphing, check out this solver)
Graph of through the point (,)
and we can see that the point lies on the line. Since we know the equation has a slope of and goes through the point (,), this verifies our answer.
#2
If you want to find the equation of line with a given a slope of which goes through the point (,), you can simply use the point-slope formula to find the equation:
---Point-Slope Formula---
where is the slope, and is the given point
So lets use the Point-Slope Formula to find the equation of the line
Plug in , , and (these values are given)
Rewrite as
Distribute
Multiply and to get
Subtract 5 from both sides to isolate y
Combine like terms and to get
------------------------------------------------------------------------------------------------------------
Answer:
So the equation of the line with a slope of which goes through the point (,) is:
which is now in form where the slope is and the y-intercept is
Notice if we graph the equation and plot the point (,), we get (note: if you need help with graphing, check out this solver)
Graph of through the point (,)
and we can see that the point lies on the line. Since we know the equation has a slope of and goes through the point (,), this verifies our answer.
#3
If we know that the y-intercept is -3, then the line goes through (0,-3)
If you want to find the equation of line with a given a slope of which goes through the point (,), you can simply use the point-slope formula to find the equation:
---Point-Slope Formula---
where is the slope, and is the given point
So lets use the Point-Slope Formula to find the equation of the line
Plug in , , and (these values are given)
Rewrite as
Distribute
Multiply and to get
Subtract 3 from both sides to isolate y
Combine like terms and to get
------------------------------------------------------------------------------------------------------------
Answer:
So the equation of the line with a slope of which goes through the point (,) is:
which is now in form where the slope is and the y-intercept is
Notice if we graph the equation and plot the point (,), we get (note: if you need help with graphing, check out this solver)
Graph of through the point (,)
and we can see that the point lies on the line. Since we know the equation has a slope of and goes through the point (,), this verifies our answer.
RELATED QUESTIONS
Hi thank you for aking the time to helpme with this, I have a writingassignment and I... (answered by ankor@dixie-net.com)
Dear Tutor,
Could you please explain the procedure in solving this problem:
Let... (answered by Fombitz)
10x^5+11x^4+3x^3 I have to factor by grouping and ac method please help I don’t know what (answered by KMST)
Help please.
I don’t think I’m doing it right.
Write the slope-intercept form of... (answered by josgarithmetic,Alan3354,MathTherapy,ikleyn,greenestamps)
I need to write an equation and graph for both of these problems and I have no clue how... (answered by solver91311)
Hi I have two homework problems that I cannot seem to quite get. In class and with my... (answered by jim_thompson5910)
Write the equation of each line using the given information.
1. m= 1/4, (4,3)
1/4... (answered by scott8148)
a. m = 1/3, m = 3/9 - Parallel
b. m = -5/3 , m = -2 - Neither parallel nor... (answered by Fombitz,Alan3354)
Here’s the problem:
For a car renting for $15 per day plus $.10 per mile, the cost for (answered by stanbon)