Question

What is the midpoint of the straight line segment joining the points (-2, 5) and (6, -1)?

A) (2, 2)
B) (4, 4)
C) (2, -3)
D) (4, -3)

Answer 1

The midpoint of the line segment joining (-2, 5) and (6, -1) is calculated by averaging the respective coordinates, which results in (2, 2). Thus, the correct answer is A) (2, 2).

Step-by-step explanation:

The midpoint of the straight line segment joining two points can be found by averaging the x-coordinates and y-coordinates of the endpoints. For the points (-2, 5) and (6, -1), calculate the midpoint as follows:

1. Add the x-coordinates together and divide by 2: (-2 + 6) / 2 = 4 / 2 = 2.
2. Add the y-coordinates together and divide by 2: (5 + (-1)) / 2 = 4 / 2 = 2.

So, the midpoint is at (2, 2).

Looking at the provided options, the correct answer is A) (2, 2).