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

To find the slope of a line that passes through two points, you use the formula for slope, which is defined as the change in the y-coordinates divided by the change in the x-coordinates. Specifically, the formula is:

[

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

]

In this case, the two points provided are (2, 3) and (4, 7). Assigning (2, 3) as the first point ((x_1, y_1)) and (4, 7) as the second point ((x_2, y_2)), the coordinates become (x_1 = 2), (y_1 = 3), (x_2 = 4), and (y_2 = 7).

Substituting these values into the slope formula:

[

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

]

Thus, the slope of the line that passes through the points (2, 3) and (4,