Question

write the following inequality in slope - intercept form.
10x + 9y > 19
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 9y term

Subtract $10x$ from both sides.
$9y > 19 - 10x$

Step2: Solve for y

Divide all terms by 9.
$y > \frac{19}{9} - \frac{10}{9}x$

Step3: Rearrange into slope-intercept form

Rewrite to place the x-term first after the inequality.
$y > -\frac{10}{9}x + \frac{19}{9}$

Answer:

$y > -\frac{10}{9}x + \frac{19}{9}$