put the following equation of a line into slope - intercept form, simplifying all fractions. 3x - 6y = - 30

Explanation:

Step1: Isolate the y - term

Subtract $3x$ from both sides: $-6y=-3x - 30$

Step2: Solve for y

Divide each term by -6: $y=\frac{-3x}{-6}+\frac{- 30}{-6}$

Step3: Simplify the fractions

$y=\frac{1}{2}x + 5$

Answer:

$y=\frac{1}{2}x + 5$