Final answer:
The midpoint of the segment connecting the points (3,-5) and (22,8) is found using the midpoint formula and is calculated to be (12.5, 1.5).
Step-by-step explanation:
To find the midpoint of the segment connecting the points (3,-5) and (22,8), we use the midpoint formula which is:
Midpoint Formula
The midpoint M, between two points (x1, y1) and (x2, y2) is given by M = ((x1 + x2) / 2, (y1 + y2) / 2).
Using the given points:
- x1 = 3, y1 = -5
- x2 = 22, y2 = 8
Let's plug these into the formula:
M = ((3 + 22) / 2, (-5 + 8) / 2)
M = (25 / 2, 3 / 2)
M = (12.5, 1.5)
Therefore, the midpoint of the segment connecting the points (3,-5) and (22,8) is (12.5, 1.5).