SOLUTION: What is the equation of the following line written in slope-intercept form? https://pittsburgh.owschools.com/media/g_alg01_2015/3/84a.gif y = -11x - 7 y = -7x + 11 y = -7x -

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: What is the equation of the following line written in slope-intercept form? https://pittsburgh.owschools.com/media/g_alg01_2015/3/84a.gif y = -11x - 7 y = -7x + 11 y = -7x -       Log On


   



Question 1011494: What is the equation of the following line written in slope-intercept form?
https://pittsburgh.owschools.com/media/g_alg01_2015/3/84a.gif
y = -11x - 7
y = -7x + 11
y = -7x - 11

Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What is the equation of the following line written in slope-intercept form?
https://pittsburgh.owschools.com/media/g_alg01_2015/3/84a.gif
y = -11x - 7
y = -7x + 11
y = -7x - 11
------------------
The 2 points are (-2,3) and (-1,-4)
find the slope m
m = diffy/diffx
------------------
Then decide if b, the y-intercept is -7, +11 or -11.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

on the graph we have two points and we can use them to find the equation of the line passing through these two points
points:
(-2,3) and (-1,-4)
the equation of the line written in slope-intercept form is:
y=mx%2Bb where m is a slope and b is y-intercept
use the points to find m and b
y=mx%2Bb for (-2,3)
3=m%28-2%29%2Bb
3=-2m%2Bb...solve for b
b=2m%2B3.........eq.1


y=mx%2Bb for (-1,-4)
-4=m%28-1%29%2Bb
-4=-m%2Bb
b=m-4..........eq.2
since left sides of eq.1 and eq.2 same, equal right sides
2m%2B3=m-4
2m-m=-4-3
highlight%28m=-7%29
go to b=m-4..........eq.2, substitute -7 for m
b=-7-4
highlight%28b=-11%29
so, your equation is: highlight%28y=-7x-11%29