Question

Write the point-slope form of a linear equation that passes through the two point (3, −5) and (−1, 8)

Answer 1

y + 5 = (-13/4)(x - 3)

Explanation:

Going from (-1, 8) to (3, -5), x (the 'run') increases by 4 and y (the 'rise') decreases by 13. Thus, the slope of the desired line is m = rise / run = -13/4.

The point-slope formula is

y - k = m(x - h), and here m = -13/4, k = -5 and h = 3:

y + 5 = (-13/4)(x - 3)