Question

rewrite the following equation in slope - intercept form. -3x - 18y - 15 = 0. write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Isolate y - term

Add 3x and 15 to both sides of -3x - 18y - 15 = 0. We get -18y=3x + 15.

Step2: Solve for y

Divide both sides by -18. So, $y=-\frac{3x + 15}{18}$.

Step3: Simplify the right - hand side

Separate the fraction: $y=-\frac{3x}{18}-\frac{15}{18}$. Then simplify each term: $y =-\frac{1}{6}x-\frac{5}{6}$.

Answer:

$y =-\frac{1}{6}x-\frac{5}{6}$