Question

write the following inequality in slope - intercept form.
7x - 12y ≥ - 18
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 term with $y$

Subtract $7x$ from both sides.
$7x - 12y - 7x \geq -18 - 7x$
$-12y \geq -7x - 18$

Step2: Solve for $y$

Divide all terms by $-12$, reverse the inequality sign.
$\frac{-12y}{-12} \leq \frac{-7x}{-12} + \frac{-18}{-12}$

Step3: Simplify the fractions

Reduce the fractions to simplest form.
$y \leq \frac{7}{12}x + \frac{3}{2}$

Answer:

$y \leq \frac{7}{12}x + \frac{3}{2}$