What is the slope of a line that runs from the point (2, 3) to (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 (often expressed as "rise over run").

In this case, the points are (2, 3) and (4, 7).

1. First, find the change in y, which is the difference between the y-coordinates of the two points:

( y_2 - y_1 = 7 - 3 = 4 ).

2. Next, find the change in x, which is the difference between the x-coordinates of the two points:

( x_2 - x_1 = 4 - 2 = 2 ).

3. Now, plug these values into the slope formula:

( \text{slope} = \frac{\text{change in } y}{\text{change in } x} = \frac{4}{2} = 2 ).

This means the slope of the line that connects the points (2, 3) and (4, 7) is 2. The slope indicates that for every 2 units you move vertically