Question

There is a line that includes the point (3, 3) and has a slope of 4. What is its equation in

slope-intercept form?

Answer 1

y = 4x - 9

Explanation:

The equation in point-slope form with slpope of m and including point (x₁,y₁) is:

y - y₁ = m(x - x₁)

m = 4

(3, 3) ⇒ x₁ = 3, y₁ = 3

So:

y - 3 = 4(x - 3) ← the point-slope form

y - 3 = 4x - 12 {add 3 to both sides}

y = 4x - 9 ← the slope-intercept form