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

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Question: 1 / 400

Calculate the slope of the line defined by the points (1, 2) and (3, 8).

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To find the slope of the line defined by the points (1, 2) and (3, 8), you use the formula for the slope, which is given by the change in y divided by the change in x, or:

\[

m = \frac{y_2 - y_1}{x_2 - x_1}

\]

In this case, the coordinates of the points can be assigned as follows:

- Point 1: (1, 2) with \(x_1 = 1\) and \(y_1 = 2\)

- Point 2: (3, 8) with \(x_2 = 3\) and \(y_2 = 8\)

Now plug the values into the slope formula:

\[

m = \frac{8 - 2}{3 - 1} = \frac{6}{2} = 3

\]

Thus, the slope of the line that passes through the points (1, 2) and (3, 8) is 3. This indicates that for every increase of 1 unit in the x-direction, the y-value increases by 3 units, reflecting a positively inclined line on

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