Question

How to write a equation that passes through the points (-1,12) and (4,-8)

Answer 1

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)