Question

Write an equation in point-slope form of the line that passes through the point (5, 1) and has a slope of -3

Answer 1

y - 1 = -3(x - 5)

Explanation:

An equation in point-slope form of the line that passes through the point (x₁,y₁) and has a slope of m:

y - y₁ = m(x - x₁)

m = -3

(5, 1) ⇒ x₁ = 5, y₁ = 1

Therefore:

y - 1 = -3(x - 5)