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Verified Answer :

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.

\(y+2= \frac{2x}{3} - \frac{8}{3}\)

\(y+2= \frac{2x-8}{3}\)

Now move the 2 to the other side, and convert it into a fraction.

\(y= \frac{2x-8-6}{3}\)
\(y= \frac{2x}{3} - \frac{14}{3}\)

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