Question

The coordinates of the endpoints of segment CD in the XY-plane are (-4, -2) and (14, -2). What is the x-coordinate of the midpoint?

A. 5
B. 9
C. 10
D. 2

Answer 1

The x-coordinate of the midpoint of segment CD with endpoints (-4, -2) and (14, -2) is calculated using the midpoint formula and is found to be 5.

Step-by-step explanation:

To find the x-coordinate of the midpoint of segment CD, we use the midpoint formula for coordinates: M = ((x1 + x2) / 2, (y1 + y2) / 2). In this case, the endpoints of segment CD are C(-4, -2) and D(14, -2). To find the x-coordinate of the midpoint, we only need to consider the x-values: Mx = ((-4) + (14)) / 2 = (10) / 2 = 5. Therefore, the x-coordinate of the midpoint is 5.

The x-coordinate of the midpoint of a line segment is found by taking the average of the x-coordinates of the endpoints. In this case, the x-coordinates of the endpoints are -4 and 14. To find the average, we add -4 and 14 and divide by 2.

Average = (-4 + 14) / 2 = 10 / 2 = 5

Therefore, the x-coordinate of the midpoint is 5.