Question

What is the equation in point-slope form of the line that passes through the point (-5, 6) and has a slope of 2/3

Answer 1

y - 6 = ²/₃(x + 5)

Explanation:

The point-slope form of the equation of a line: y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

m = ²/₃

(-5, 6) ⇒ x₁ = -5, y₁ = 6

So the point-slope form of the equation:

y - 6 = ²/₃(x - (-5))

or: y - 6 = ²/₃(x + 5)