put the following equation of a line into slope - intercept form, simplifying all fractions. 2x - 3y = - 9

Explanation:

Step1: Isolate the y - term

Subtract $2x$ from both sides of the equation $2x - 3y=-9$. $2x-2x - 3y=-2x - 9$ $-3y=-2x - 9$

Step2: Solve for y

Divide each term in the equation $-3y=-2x - 9$ by $-3$. $y=\frac{-2x}{-3}+\frac{-9}{-3}$ $y = \frac{2}{3}x + 3$

Answer:

$y=\frac{2}{3}x + 3$