Question

write the following inequality in slope - intercept form.
x + 6y ≤ 6
write your answer with y first, followed by an inequality symbol. use integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Isolate the y-term

Subtract $x$ from both sides:
$6y \leq 6 - x$

Step2: Solve for y

Divide all terms by 6:
$y \leq \frac{6}{6} - \frac{x}{6}$

Step3: Simplify the fractions

Reduce $\frac{6}{6}$ to 1:
$y \leq -\frac{1}{6}x + 1$

Answer:

$y \leq -\frac{1}{6}x + 1$