Conquer the College Math Placement Challenge 2025 – Step Up and Shine!

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Question: 1 / 400

Identify the x-intercept of the equation y = 2x - 4.

x = 0

x = 1

x = 2

To find the x-intercept of the equation $ y = 2x - 4 $, you set $ y $ equal to 0 and solve for $ x $. The x-intercept is the point where the graph of the equation crosses the x-axis, which occurs when the value of $ y $ is zero.

Starting with the equation:

\[ 0 = 2x - 4 \]

Next, add 4 to both sides:

\[ 4 = 2x \]

Now, divide both sides by 2:

\[ x = 2 \]

Thus, the x-intercept occurs at $ x = 2 $. This means that when $ y $ is 0, $ x $ is equal to 2, confirming that the correct answer is indeed 2.

Understanding the x-intercept as the point where the graph intersects the x-axis is crucial in graphing linear equations; it provides valuable information about the function's behavior.

Conquer the College Math Placement Challenge 2025 – Step Up and Shine!

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