Question

put the following equation of a line into slope-intercept form, simplifying all fractions. 9x + 6y = -24

Explanation:

Step1: Isolate the y-term

Subtract \(9x\) from both sides of the equation \(9x + 6y=-24\).
\(6y=-9x - 24\)

Step2: Solve for y

Divide every term by 6 to simplify.
\(y=\frac{-9x}{6}-\frac{24}{6}\)
Simplify the fractions: \(\frac{-9}{6}=-\frac{3}{2}\) and \(\frac{-24}{6}=-4\).
So, \(y = -\frac{3}{2}x-4\)

Answer:

\(y = -\frac{3}{2}x - 4\)