Question

put the following equation of a line into slope - intercept form, simplifying all fractions. 4x - 3y = -21

Explanation:

Step1: Isolate the y - term

Subtract $4x$ from both sides of the equation $4x - 3y=-21$.
$4x-4x - 3y=-4x - 21$
$-3y=-4x - 21$

Step2: Solve for y

Divide each term in the equation $-3y=-4x - 21$ by $-3$.
$y=\frac{-4x}{-3}+\frac{-21}{-3}$
$y = \frac{4}{3}x+7$

Answer:

$y=\frac{4}{3}x + 7$