Write the following inequality in slope-intercept form.

Question

19x–y>
–
9
Write your answer with y first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Answer 1

To rewrite the inequality \( 19x - y > -9 \) in slope-intercept form (which is of the form \( y = mx + b \)), we need to isolate \( y \).

1. Start by moving \( 19x \) to the right side of the inequality: \[ -y > -19x - 9 \]

2. To solve for \( y \), multiply the entire inequality by -1, which reverses the inequality symbol: \[ y < 19x + 9 \]

Thus, the inequality in slope-intercept form is: \[ y < 19x + 9 \]