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

Step-by-step 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