question put the following equation of a line into slope - intercept form, simplifying all fractions. 2x +…
question put the following equation of a line into slope - intercept form, simplifying all fractions. 2x + 8y = 32
Answer
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:
$y =-\frac{1}{4}x + 4$