# The end points of line segment PQ are A(1,3) and Q(7, 7). What is the midpoint of line segment PQ?

Dec 25, 2016

The change in coordinates from one end to the midpoint is half of the change in coordinates from one and to the other end.

#### Explanation:

To go from P to Q, the x coordinate increase by 6 and the y coordinate increase by 4.

To go from P to the midpoint, the x coordinate will increase by 3 and the y coordinate will increase by 2; this is the point $\left(4 , 5\right)$