Question

what is the midpoint of the line segment with endpoints (-2, -2) and (4, 6)?
A (1,4)
B (2,2)
C (2,4)
D (1,2)

Answer 1

Option D: $(1,2)$ is the midpoint of the line segment.

Explanation:

The endpoints of the line segment is $(-2,-2)$ and $(4,6)$

We need to determine the midpoint of the line segment.

The midpoint of the line segment can be determined using the formula,

$\text { midpoint }=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

Substituting the coordinates $(-2,-2)$ and $(4,6)$ in the formula, we have,

$\text { midpoint }=\left(\frac{-2+4}{2}, \frac{-2+6}{2}\right)$

Adding the numerator, we have,

$\text { midpoint }=\left(\frac{2}{2}, \frac{4}{2}\right)$

Dividing, we have,

$\text { midpoint }=\left(1, 2)$

Thus, the midpoint of the line segment is $(1,2)$

Hence, Option D is the correct answer.