This equation is what we call is in point-slope form.
We need to make it into a linear equation, which is:
y=mx+b
Point-slope form is:
y+y1=m(x+x1)
Thus, we need to isolate y.
First, get rid of parentheses.
[tex]y+2= \frac{2x}{3} - \frac{8}{3} [/tex]
[tex]y+2= \frac{2x-8}{3} [/tex]
Now move the 2 to the other side, and convert it into a fraction.
[tex]y= \frac{2x-8-6}{3} [/tex]
[tex]y= \frac{2x}{3} - \frac{14}{3} [/tex]
