Question

rewrite the following equation in slope-intercept form.
7x - 14y = 17
write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Isolate the y-term

Subtract $7x$ from both sides.
$7x - 14y - 7x = 17 - 7x$
$-14y = -7x + 17$

Step2: Solve for y

Divide all terms by $-14$.
$\frac{-14y}{-14} = \frac{-7x}{-14} + \frac{17}{-14}$

Step3: Simplify fractions

Reduce fractions to simplest form.
$y = \frac{1}{2}x - \frac{17}{14}$

Answer:

$y = \frac{1}{2}x - \frac{17}{14}$