Question

rewrite the following equation in slope-intercept form.
6x - 17y = 19
write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Isolate the y-term

Subtract $6x$ from both sides.
$$-17y = -6x + 19$$

Step2: Solve for y

Divide all terms by $-17$.
$$y = \frac{-6}{-17}x + \frac{19}{-17}$$

Step3: Simplify fractions

Simplify the signs of the fractions.
$$y = \frac{6}{17}x - \frac{19}{17}$$

Answer:

$y = \frac{6}{17}x - \frac{19}{17}$