Answer is equation y = 3/4x - 4 1/2
Step by step
Our points from the graph (2, -3) and (-2, -6)
First we find slope using slope formula
y2 - y1 over x2 - x1
-6 - -3 over -2 -2
-3 over -4 = 3/4 slope
Now we can find the equation using one set of points ( 2, -3) and slope,
using formula
y - y1 = m (x - x1)
y - -3 = 3/4 (x - 2)
y + 3 = 3/4x - 3/2
Subtract 3 from both sides to isolate y
y + 3 -3 = 3/4x -3/2 -3
combine
y = 3/4x - 4 1/2
this is your equation. When you look at your graph you can see your slope is 3/4 rise over run and you can see your y intercept where your line crosses the y axis is 4 1/2.
Problem solved!