College Math Placement Practice Test 2026 - Free College Math Questions and Study Guide

To find the slope of a line connecting two points, you use the formula for the slope, which is defined as the change in the y-coordinates divided by the change in the x-coordinates. Specifically, if you have two points, \((x_1, y_1)\) and \((x_2, y_2)\), the slope \(m\) is calculated as follows:

\[

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

\]

In this case, the points given are \( (2, 3) \) and \( (4, 7) \). We can assign the coordinates as follows:

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

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

Now, we can plug these values into the slope formula:

\[

m = \frac{7 - 3}{4 - 2} = \frac{4}{2} = 2

\]

The calculated slope of the line connecting these two points is 2, which corresponds to the choice that was indicated as the correct answer