Algebra Practice Test 2025 – The Complete Guide to Mastering Your Exam Success!

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Question: 1 / 400

What is the slope of the line represented by the equation 2y = 4x + 8?

To determine the slope of the line given by the equation $2y = 4x + 8$, it is helpful to first rewrite the equation in slope-intercept form, which is $y = mx + b$, where $m$ represents the slope and $b$ represents the y-intercept.

Starting with the original equation:

2y = 4x + 8

We can solve for $y$ by dividing every term in the equation by 2:

y = \frac{4}{2}x + \frac{8}{2}

This simplifies to:

y = 2x + 4

In this format, it's clear that the coefficient of $x$ is the slope. Here, $m = 2$, which indicates that the slope of the line is 2. This means that for every unit increase in $x$, $y$ increases by 2 units.

Thus, the slope of the line represented by the equation $2y = 4x + 8$ is indeed 2.

Algebra Practice Test 2025 – The Complete Guide to Mastering Your Exam Success!

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