Write the following inequality in slope-intercept form.

Question

17x+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 convert the inequality \( 17x + y \geq -9 \) into slope-intercept form (which is \( y = mx + b \)), we need to isolate \( y \).

Starting with the original inequality:

\[ 17x + y \geq -9 \]

we can subtract \( 17x \) from both sides:

\[ y \geq -17x - 9 \]

Now, we have the inequality in the form \( y \) on the left side. So the slope-intercept form of the inequality is:

\[ y \geq -17x - 9 \]

This shows that \( y \) is greater than or equal to \( -17x - 9 \).