Question

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 every term by 6: \(y = \frac{-3x}{6} - \frac{30}{6}\)
Simplify the fractions: \(y = -\frac{1}{2}x - 5\)

Answer:

\(y = -\frac{1}{2}x - 5\)