Question

What is the midpoint of the segment whose endpoints are (0.4) and (-4,-6)

Answer 1

The coordinates of the midpoint are (-2,-1)

Explanation:

The Midpoint of a Segment

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

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

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

We have the endpoints (0,4) and (-4,-6):

`\displaystyle x_m=(0-4)/(2)`

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

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

`\displaystyle y_m=(-2)/(2)=-1`

The coordinates of the midpoint are (-2,-1)