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 every term by 8 to solve for \(y\).
\(y = \frac{-2x}{8} + \frac{32}{8}\)

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:

\(y = -\frac{1}{4}x + 4\)