Slope - intercept form: y = mx + b where m is the slope and b is the y-intercept.
They want the equation with a slope of -3/5 so
y = -3/5x + b
Now to find the y-intercept, you plug in the ordered pair (-4, 0) and solve for b
0 = -3/5 * -4 + b
0 = 12/5 + b
-12/5 = b
So the answer is A) y = -3/5x - 12/5