Question

Write an equation in slope intercept form. Y-2/3x=3;(-6,1)

Answer 1

We won't be using the given point (-6,1), since it won't really help us to get our answer.

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

Add 2/3x to both sides of the equation.

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

The 2/3x on the left side will cancel each other out.

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

This equation is in the form y=mx+b, which is slope intercept form.

Let me know if you need any clarifications, thanks!