Question

put the following equation of a line into slope - intercept form, simplifying all fractions. 3x + 6y = 36

Explanation:

Step1: Isolate the y - term

Subtract \(3x\) from both sides of the equation \(3x + 6y=36\) to get \(6y=- 3x + 36\).

Step2: Solve for y

Divide each term in the equation \(6y=-3x + 36\) by 6. So we have \(y=\frac{-3x}{6}+\frac{36}{6}\).

Step3: Simplify the fractions

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

Answer:

\(y=-\frac{1}{2}x + 6\)