Question

convert to slope intercept form

-4/3 (x+1) =y-2

Answer 1

Remember that slope-intercept form is the form:

$y = mx + b$

Let's use some operations to try to get our current equation to that form:

$- \dfrac{4}{3} (x + 1) = y - 2$

• Set up

$- \dfrac{4}{3} x - \dfrac{4}{3} = y - 2$

• Distribute the $- \dfrac{4}{3}$ onto $(x + 1)$ using the Distributive Property

$y = - \dfrac{4}{3}x + \dfrac{2}{3}$

• Add 2 to both sides of the equation

Our answer is $\boxed{y = - \dfrac{4}{3}x + \dfrac{2}{3}}$.