find the midpoint of the line segment with endpoints (-5, _5) and (7, 9)

To find the midpoint of a line segment with given endpoints, you need to calculate the average of the x-coordinates and the average of the y-coordinates of the endpoints.

Let's denote the first endpoint as (x1, y1) = (-5, -5) and the second endpoint as (x2, y2) = (7, 9).

To find the midpoint:
1. Find the average of the x-coordinates: (x1 + x2)/2
= (-5 + 7)/2
= 2/2
= 1

2. Find the average of the y-coordinates: (y1 + y2)/2
= (-5 + 9)/2
= 4/2
= 2

Therefore, the midpoint of the line segment with endpoints (-5, -5) and (7, 9) is (1, 2).