Answer:
y = (5/4)x - 4
Explanation:
As we move from (0, -4) to (4, 1), x increases by 4 and y increases by 5.
Thus, the slope of the line segment connecting these two points is
m = rise / run = 5/4.
Subbing these knowns into the point-slope formula for the equation of a straight line, we get:
y - 1 = (5/4)(x - 4), or
y = (5/4)x - 5 + 1, or
y = (5/4)x - 4
Let's check this out. Determine whether or not (0, -4) satisfies the equation:
-4 = (5/4)(0) - 4
Yes, this is true; the equation is correct.