Write the following inequality in slope-intercept form.

Question

5x–y<
–
10
Write your answer with y first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Answer 1

To write the inequality \( 5x - y < -10 \) in slope-intercept form, we need to solve for \( y \).

Starting with the given inequality: \[ 5x - y < -10 \]

We can isolate \( y \) by subtracting \( 5x \) from both sides: \[ -y < -10 - 5x \]

Next, we can multiply both sides by -1. Remember that when we multiply or divide both sides of an inequality by a negative number, we need to reverse the inequality sign: \[ y > 10 + 5x \]

Now, we can rewrite it in the conventional slope-intercept form \( y = mx + b \): \[ y > 5x + 10 \]

Thus, the final answer is: \[ y > 5x + 10 \]