Question

rewrite the following equation in slope-intercept form.
\\( y - 7 = \frac{1}{5}(x - 5) \\)
write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Distribute $\frac{1}{5}$ to terms

$y - 7 = \frac{1}{5}x - \frac{1}{5} \times 5$
$y - 7 = \frac{1}{5}x - 1$

Step2: Isolate $y$ by adding 7

$y = \frac{1}{5}x - 1 + 7$

Step3: Simplify constant terms

$y = \frac{1}{5}x + 6$

Answer:

$y = \frac{1}{5}x + 6$