Rewriting 3x + 4y > 8 in Slope Intercept Form

Published on August 30, 2026

Algebra

Learn how to rewrite the linear inequality 3x + 4y > 8 into slope-intercept form by isolating y and simplifying the equation step by step.

Question

Answer

To find the slope-intercept form of the linear inequality

, we need to solve for

. The slope-intercept form is written as

Step 1: Isolate the term containing .
Subtract

from both sides of the inequality:

Step 2: Solve for .
Divide every term by

. Since

is a positive number, the inequality sign remains the same:

Comparing with the given options:

a. (Matches our result)
b.
c.
d.

The correct option is a.

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