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

To find the slope of a line that passes through two points, we 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 we 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}

]

For the points (2, 3) and (4, 7):

• Here, ((x_1, y_1) = (2, 3)) and ((x_2, y_2) = (4, 7)).

Now, substituting these values into the slope formula:

[

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

]

This calculation shows that the slope of the line passing through the points (2, 3) and (4, 7) is 2. A slope of 2 indicates that for every unit increase in the x