This topic will be on the midpoint of a line. This topic is typically found in (Canadian) high school mathematics.
Suppose we are given a point with the co-ordinate (, ) and a point with the co-ordinate (, ). The line segment connects the point to the point .
The midpoint as the co-ordinate (, ) is the point on the line which is in the middle of the line. In other words, the distance from the midpoint to is the same distance from the midpoint to .
To compute the midpoint for two points (in the xy-plane) is simply:
In the midpoint formula, we add up the two x-values and divide by 2 and we add up the y-values and divide by 2.
Here is a diagram as a reference.
Given the point as (-5, 2) and the point as (2, 3), the midpoint on the line is:
Suppose that the point is (1, 4) and the point is (2, 2), the midpoint on the line is: