Write the following inequality in slope-intercept form.

Question

8x–y>3
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 \(8x - y > 3\) in slope-intercept form (\(y > mx + b\)), we need to isolate \(y\).

Starting from the original inequality:

\[ 8x - y > 3 \]

We can subtract \(8x\) from both sides:

\[ -y > 3 - 8x \]

Now, we will multiply both sides of the inequality by \(-1\). Remember, when we multiply or divide by a negative number, we need to reverse the inequality sign:

\[ y < 8x - 3 \]

Thus, the final form of the inequality in slope-intercept form is:

\[ y < 8x - 3 \]