To find the midpoint of a line segment with given endpoints, you can use the midpoint formula. The midpoint (M) can be calculated using the following formula:
M = ((x1 + x2) / 2, (y1 + y2) / 2)
Here, (x1, y1) = (3, 10) and (x2, y2) = (7, 8).
Now, plug in the values:
- x-coordinate: (3 + 7) / 2 = 10 / 2 = 5
- y-coordinate: (10 + 8) / 2 = 18 / 2 = 9
So, the midpoint M is (5, 9).
This means that the point (5, 9) is exactly halfway between the points (3, 10) and (7, 8) on the line segment connecting them.