Question

rewrite the following equation in slope-intercept form.
$x - 6y = -11$
write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Isolate the y-term

Subtract $x$ from both sides:
$-6y = -x - 11$

Step2: Solve for y

Divide all terms by $-6$:
$y = \frac{-x}{-6} + \frac{-11}{-6}$

Step3: Simplify the fractions

Simplify each term to lowest terms:
$y = \frac{1}{6}x + \frac{11}{6}$

Answer:

$y = \frac{1}{6}x + \frac{11}{6}$