Question

rewrite the following equation in slope - intercept form.
$y + 8=\frac{5}{3}(x - 3)$
write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Distribute $\frac{5}{3}$ to terms in parentheses

$y + 8 = \frac{5}{3}x - \frac{5}{3} \times 3$
$y + 8 = \frac{5}{3}x - 5$

Step2: Isolate $y$ by subtracting 8

$y = \frac{5}{3}x - 5 - 8$
$y = \frac{5}{3}x - 13$

Answer:

$y = \frac{5}{3}x - 13$