We won't be using the given point (-6,1), since it won't really help us to get our answer.
[tex]y-\dfrac{2}{3} x=3[/tex]
Add 2/3x to both sides of the equation.
[tex]y-\dfrac{2}{3} x+\dfrac{2}{3} x=3+\dfrac{2}{3} x[/tex]
The 2/3x on the left side will cancel each other out.
[tex]y=\dfrac{2}{3} x+3[/tex]
This equation is in the form y=mx+b, which is slope intercept form.
Let me know if you need any clarifications, thanks!
