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

To find the slope of a line that passes through two points, you can use the formula for slope, which is:

[

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

]

In this case, the two points are (2, 3) and (4, 7). You can identify these points as follows:

• ( (x_1, y_1) = (2, 3) )

• ( (x_2, y_2) = (4, 7) )

Now, substituting the coordinates into the slope formula:

[

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

]

Thus, the slope of the line passing through the points (2, 3) and (4, 7) is 2. This calculation shows how the change in the y-coordinate (vertical change) compares to the change in the x-coordinate (horizontal change), illustrating the rate of change between the two points. Therefore, the correct answer is the second choice.