How do you calculate the midpoint of the line segment from (0, 0) to (4, 8)?

To calculate the midpoint, average the x-coordinates and the y-coordinates of the endpoints.

To find the midpoint of a line segment, you need to use the midpoint formula. The formula is \((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})\), where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the endpoints of the line segment. In this case, the endpoints are \((0, 0)\) and \((4, 8)\).

First, let's find the average of the x-coordinates. The x-coordinates are 0 and 4. To find the average, you add them together and then divide by 2:
\[
\frac{0 + 4}{2} = \frac{4}{2} = 2
\]

Next, let's find the average of the y-coordinates. The y-coordinates are 0 and 8. Again, add them together and then divide by 2:
\[
\frac{0 + 8}{2} = \frac{8}{2} = 4
\]

So, the midpoint of the line segment from \((0, 0)\) to \((4, 8)\) is \((2, 4)\). This means that if you were to draw the line segment on a graph, the point \((2, 4)\) would be exactly halfway between the two endpoints. This method can be used for any pair of points to find the midpoint of the line segment connecting them.