WorkKeys Math Challenge 2025 – Master the Numbers and Unlock Success!

Question: 1 / 400

Find the slope of the line that passes through the points (2, 3) and (4, 7).

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To find the slope of the line that passes through two points, you can use the formula for slope, which is given by the change in the y-coordinates divided by the change in the x-coordinates.

For the points (2, 3) and (4, 7):

- The change in the y-coordinates (rise) is calculated as the difference between the y-values: 7 - 3 = 4.

- The change in the x-coordinates (run) is calculated as the difference between the x-values: 4 - 2 = 2.

Now, applying the formula for slope:

Slope \( m = \frac{\text{rise}}{\text{run}} = \frac{4}{2} = 2 \).

This indicates that for every 2 units moved in the x-direction, the line rises by 4 units in the y-direction, thus representing a slope of 2. This aligns with the choice made. Understanding slope is crucial for interpreting graphs and equations in mathematics, as it indicates the steepness and direction of a line.

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