Question

rewrite the following equation in slope-intercept form.
7x - 5y = 15
write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Isolate the y-term

Subtract $7x$ from both sides.
$7x - 5y - 7x = 15 - 7x$
$-5y = -7x + 15$

Step2: Solve for y

Divide all terms by $-5$.
$\frac{-5y}{-5} = \frac{-7x}{-5} + \frac{15}{-5}$

Step3: Simplify the equation

Reduce each fraction to simplest form.
$y = \frac{7}{5}x - 3$

Answer:

$y = \frac{7}{5}x - 3$