Question

rewrite the following equation in slope - intercept form. 5x - 14y = 12 write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Isolate the $y$ - term

Subtract $5x$ from both sides of the equation $5x - 14y=12$.
$ - 14y=12 - 5x$

Step2: Solve for $y$

Divide each term in the equation $-14y = 12-5x$ by $- 14$.
$y=\frac{-5x}{-14}+\frac{12}{-14}$

Step3: Simplify the fractions

Simplify $\frac{-5x}{-14}+\frac{12}{-14}$ to get $y = \frac{5}{14}x-\frac{6}{7}$

Answer:

$y=\frac{5}{14}x - \frac{6}{7}$