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

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Question: 1 / 400

What is the slope of the line passing through the points (2, 3) and (4, 7)?

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To determine the slope of the line passing through the points (2, 3) and (4, 7), we use the slope formula:

\[

\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}

\]

In this case, we can assign the coordinates as follows:

- \( (x_1, y_1) = (2, 3) \)

- \( (x_2, y_2) = (4, 7) \)

Substituting these values into the formula gives:

\[

\text{slope} = \frac{7 - 3}{4 - 2} = \frac{4}{2} = 2

\]

This means that for every unit increase in the x-direction, the value of y increases by 2 units, which indicates a direct proportional relationship. The slope of the line is therefore 2, demonstrating that the line rises steeply as it moves from left to right.

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