Write the following inequality in slope-intercept form.

Question

13x–y≤
–
14
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 \( 13x - y \leq -14 \) in slope-intercept form (\( y = mx + b \)), we need to solve for \( y \).

Starting with the given inequality:

\[ 13x - y \leq -14 \]

Subtract \( 13x \) from both sides:

\[ -y \leq -14 - 13x \]

Next, we multiply the entire inequality by -1. Remember, when we multiply or divide by a negative number, we must flip the inequality sign:

\[ y \geq 14 + 13x \]

Now, we can write this in standard slope-intercept form:

\[ y \geq 13x + 14 \]

So the final answer is:

\[ y \geq 13x + 14 \]