Question

What are the coordinates of the midpoint M of the line segment QS, given that QS has endpoints Q(3,5) and S(7,-9)?

A) (5, -2)
B) (5, -2)
C) (10, -2)
D) (10, -7)

Answer 1

The coordinates of the midpoint M of the line segment QS are (5, -2).

Step-by-step explanation:

To find the coordinates of the midpoint M of the line segment QS, we can use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.

Given that Q(3,5) and S(7,-9), we can find the coordinates of the midpoint as follows:

x-coordinate of midpoint = (x-coordinate of Q + x-coordinate of S) / 2 = (3 + 7) / 2 = 5

y-coordinate of midpoint = (y-coordinate of Q + y-coordinate of S) / 2 = (5 + (-9)) / 2 = -2

Therefore, the coordinates of the midpoint M are (5, -2).