Write the following inequality in slope-intercept form.

Question

13x+y≤16
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 \(13x + y \leq 16\) into slope-intercept form (\(y = mx + b\)), we need to isolate \(y\).

Starting with the given inequality: \[ 13x + y \leq 16 \]

Subtract \(13x\) from both sides: \[ y \leq -13x + 16 \]

Now, the inequality is in slope-intercept form. Thus, the final answer is: \[ y \leq -13x + 16 \]