Question

rewrite the following equation in slope - intercept form.
4x - 5y = 13
write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Isolate the y-term

Subtract $4x$ from both sides.
$4x - 5y - 4x = 13 - 4x$
$-5y = -4x + 13$

Step2: Solve for y

Divide all terms by $-5$.
$y = \frac{-4x}{-5} + \frac{13}{-5}$

Step3: Simplify the fractions

Simplify each term to simplest form.
$y = \frac{4}{5}x - \frac{13}{5}$

Answer:

$y = \frac{4}{5}x - \frac{13}{5}$