Question

What is the midpoint of the line segment with endpoints (-2,-4) and (4,6)?

A. (-6,10)
B. (-3,5)
C. (1,1)
D. (2.2)
E. (3,5)

Answer 1

Answer: C. (1,1)

Explanation:

Midpoint

Given a segment defined by points (x1,y1) and (x2,y2), the midpoint (xm,ym) is calculated as follows:

`\displaystyle x_m=(x_1+x_2)/(2)`

`\displaystyle y_m=(y_1+y_2)/(2)`

The endpoints are (-2,-4) and (4,6).

Calculating the midpoint:

`\displaystyle x_m=(-2+4)/(2)=(2)/(2)=1`

`\displaystyle y_m=(-4+6)/(2)=(2)/(2)=1`

The midpoint is (1,1).

Answer: C. (1,1)