Question

rewrite the following equation in slope - intercept form. 3x - 4y = - 8. write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Isolate the y - term

Subtract 3x from both sides of the equation $3x - 4y=-8$. We get $-4y=-3x - 8$.

Step2: Solve for y

Divide each term in the equation $-4y=-3x - 8$ by - 4. So $y=\frac{-3x}{-4}+\frac{-8}{-4}$.

Step3: Simplify the fractions

Simplify $\frac{-3x}{-4}+\frac{-8}{-4}$ to $y = \frac{3}{4}x + 2$.

Answer:

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