Question

question
put the following equation of a line into slope-intercept form, simplifying all fraction
2x - 2y = -8

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. We need to solve the given equation $2x-2y=-8$ for $y$.

First, subtract $2x$ from both sides of the equation:
$-2y=-2x - 8$

Step2: Solve for y

Divide every term in the equation $-2y=-2x - 8$ by $-2$:
$y=\frac{-2x}{-2}+\frac{-8}{-2}$
Simplify each fraction:
$y = x + 4$

Answer:

The equation of the line in slope - intercept form is $y=x + 4$