Question

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

a. 0
b. 2
c. 5
d. 9
e. 10

Answer 1

The x-coordinate of the midpoint of line segment CD is found using the midpoint formula, resulting in an x-coordinate of 5, which is option c.

Step-by-step explanation:

To find the x-coordinate of the midpoint of line segment CD, with endpoints at (-4,-2) and (14,2), we use the midpoint formula which is defined as:

(x_{midpoint}, y_{midpoint}) = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)

Substituting the given x-coordinates of the endpoints into this formula, we get:

x_{midpoint} = \frac{-4 + 14}{2} = \frac{10}{2} = 5

Therefore, the correct answer is option c. 5.