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

To find the slope of a line that passes through two points, we use the formula for slope, which is given by the change in the y-coordinates divided by the change in the x-coordinates. Specifically, if we have two points ((x_1, y_1)) and ((x_2, y_2)), the slope (m) can be calculated as:

[

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

]

In this case, the points are (2, 3) and (4, 7). Here, ((x_1, y_1) = (2, 3)) and ((x_2, y_2) = (4, 7)).

Plugging in the values into the formula, we get:

[

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

]

Therefore, the slope of the line that passes through the points (2, 3) and (4, 7) is indeed 2. This means that for every 2 units the line rises