Question

What is the equation in point-slope form of the line passing through (2, 5) and (–1, 8)?

Answer 1

y + 5 = 1(x + 2)

y + 8 = –1(x – 1)

y – 5 = –1(x – 2)

y – 8 = 1(x – 2)

Answer 2

y - y1 = m(x - x1)

You're given two points. All you have to do is just insert them and solve for m:
8 - 5 = m(-1 - 2)
3 = m(-3)
3 = -3m
3m = -3
m = -3/3
m = -1

y - 5 = -1(x - 2)

Answer 3

Thanks