Question

put the following equation of a line into slope-intercept form, simplifying all fractions. 2x + 6y = 36

Explanation:

Step1: Isolate the y-term

Subtract \(2x\) from both sides of the equation \(2x + 6y = 36\) to get \(6y=-2x + 36\).

Step2: Solve for y

Divide every term in the equation \(6y=-2x + 36\) by 6. So we have \(y=\frac{-2x}{6}+\frac{36}{6}\).

Step3: Simplify the fractions

Simplify \(\frac{-2x}{6}\) to \(-\frac{1}{3}x\) and \(\frac{36}{6}\) to 6. So the equation becomes \(y = -\frac{1}{3}x + 6\).

Answer:

\(y = -\frac{1}{3}x + 6\)