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: $6y=-9x - 24$

Step2: Solve for y

Divide each term in the equation by 6: $y=\frac{-9x}{6}-\frac{24}{6}$

Step3: Simplify the fractions

$y =-\frac{3}{2}x - 4$

Answer:

$y=-\frac{3}{2}x - 4$