Question

question
put the following equation of a line into slope - intercept form, simplifying all fractions.
2x + 8y = 32

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 equation $2x + 8y=32$ for $y$.
First, subtract $2x$ from both sides of the equation:
$8y=-2x + 32$

Step2: Solve for y

Divide each term in the equation $8y=-2x + 32$ by 8 to isolate $y$:
$y=\frac{-2x}{8}+\frac{32}{8}$
Simplify the fractions: $\frac{-2}{8}=-\frac{1}{4}$ and $\frac{32}{8} = 4$. So we have $y=-\frac{1}{4}x + 4$

Answer:

$y =-\frac{1}{4}x+4$