Write the equation of the line that passes through the points (2,2) and (5, -13)

Answer 1

I'll show you 2 ways. For either, you need to find the slope.

m = (2 - (-13))/(2 - 5) = 15/-3 = -5

1. y = mx + b. Use either point.

2 = -5(2) + b

2 = -10 + b

b = 12

y = -5x + 12

2. y - y₁ = m(x - x₁)

y - 2 = -5(x - 2)

y - 2 = -5x + 10

y = -5x + 12

Answer 2

Start with two-point form:

(y - 2) / (x - 2) = (2 + 13) / (2 - 5)