In order to find this, we must find the full value of the equation using one of the points and the slope. This will allow us to find the y-intercept. We'll use the (-2, 1) point to start.
y = mx + b
1 = -3/5(-2) + b
1 = 6/5 + b
-1/5 = b
This y-intercept gives us the overall equation of y = -3/5x - 1/5. Now we can try the other point in the equation to see if it works as well.
y = -3/5x - 1/5
-2 = -3/5(3) - 1/5
-2 = -9/5 - 1/5
-2 = -10/5
-2 = -2 (TRUE)
Since this works in the equation, we know that D is the correct answer.
