Remember that slope-intercept form is the form:
[tex]y = mx + b[/tex]
Let's use some operations to try to get our current equation to that form:
[tex]- \dfrac{4}{3} (x + 1) = y - 2[/tex]
[tex]- \dfrac{4}{3} x - \dfrac{4}{3} = y - 2[/tex]
- Distribute the [tex]- \dfrac{4}{3}[/tex] onto [tex](x + 1)[/tex] using the Distributive Property
[tex]y = - \dfrac{4}{3}x + \dfrac{2}{3}[/tex]
- Add 2 to both sides of the equation
Our answer is [tex]\boxed{y = - \dfrac{4}{3}x + \dfrac{2}{3}}[/tex].
