Question

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

Explanation:

Step1: Isolate the y - term

Add 7x to both sides of the equation:
$-14y=7 + 7x$

Step2: Solve for y

Divide each term by - 14:
$y=\frac{7}{-14}+\frac{7x}{-14}$
Simplify the fractions:
$y =-\frac{1}{2}-\frac{1}{2}x$
Rearrange to slope - intercept form $y=mx + b$:
$y=-\frac{1}{2}x-\frac{1}{2}$

Answer:

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