Answer is y = -3x + 2
Step by step
We know slope intercept form
y = mx + b
We know coordinates
Points ( -1, 5 ) ( 1, -1 )
First find slope
Y2 - y1 over x2 - x1
-1 -5 over 1 -(-1)
-6 over 2 = -3
Slope is -3 (it is “m” in slope intercept form)
Now by looking at the graph we see the point the line crosses the y axis (our y intercept or “b”) is 2
So our answer is y = -3x + 2