Question

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

Explanation:

Step1: Isolate the y - term

Subtract $2x$ from both sides of the equation $2x + 8y=32$.
$8y=-2x + 32$

Step2: Solve for y

Divide each term in the equation $8y=-2x + 32$ by 8.
$y=-\frac{2}{8}x+\frac{32}{8}$

Step3: Simplify the fractions

Simplify $-\frac{2}{8}$ to $-\frac{1}{4}$ and $\frac{32}{8}$ to 4.
$y =-\frac{1}{4}x + 4$

Answer:

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