Write the following inequality in slope-intercept form.

Question

12x+y≥12
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 \(12x + y \geq 12\) in slope-intercept form (which is \(y = mx + b\)), we need to isolate \(y\). Here are the steps:

1. Start with the original inequality: \[ 12x + y \geq 12 \]

2. Subtract \(12x\) from both sides: \[ y \geq 12 - 12x \]

3. Rearrange the right side: \[ y \geq -12x + 12 \]

Now, we have the inequality in the slope-intercept form. Therefore, the final answer is: \[ y \geq -12x + 12 \]