Question

rewrite the following equation in slope-intercept form.
\\( y - 5 = \frac{5}{2}(x + 4) \\)
write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Distribute the fraction

$y - 5 = \frac{5}{2}x + \frac{5}{2} \times 4$
$y - 5 = \frac{5}{2}x + 10$

Step2: Isolate $y$ by adding 5

$y = \frac{5}{2}x + 10 + 5$

Answer:

$y = \frac{5}{2}x + 15$