Write the following inequality in slope-intercept form.

Question

2x+y≤
–
4
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 \( 2x + y \leq -4 \) in slope-intercept form, which is \( y = mx + b \), we need to isolate \( y \).

Starting with the original inequality:

\[ 2x + y \leq -4 \]

Subtract \( 2x \) from both sides:

\[ y \leq -2x - 4 \]

Now, the inequality is now in slope-intercept form:

\[ y \leq -2x - 4 \]

This is the final answer.