Answer:
y - 12 = (-4/5)(x + 1)
Explanation:
Let's use the point-slope formula y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.
1. Find the slope. As we go from (-1, 12) to (4, 8), x (the run) increases by 5 and y (the rise) decreases by 4. Thus, the slope is m = rise/run = -4/5.
2. Plug into the formula (given above) the following:
-4/5 for m, -1 for x and 12 for y:
y - 12 = (-4/5)(x + 1)