Question

Find an equation for the line below

Answer 1

Answer is y= - 3/4x - 3 1/2
Step by step
We are looking for y = mx + b equation

First we find the two points on the graph
(-6, 1) and (2, -5)
Now we will find slope by finding change in y over change in x
(Y2 - y1) over (x2 - x1)
( -5 -1) over ( 2 - (-6) )
-6 over 8
reduce to -3/4 is slope “m”

Now we can solve for “b”
Substitute one set of points and your slope you just found into the equation
Let’s use ( 2, -5)

y = mx + b
-5 = ( -3/4) (2) + b
-5 = -3/2 + b
Now add 3/2 (same as 1-1/2) to both sides to isolate “b”
-5 + 3/2 = -3/2 + 3/2 + b
-3 1/2 = b

Now we have y= -3/4 - 3 1/2 for your equation!

Problem solved.