Question

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

Answer 1

Answer:

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

Step-by-step 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:

$\displaystyle x_m=\frac{x_1+x_2}{2}$

$\displaystyle y_m=\frac{y_1+y_2}{2}$

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

$\displaystyle x_m=\frac{0-4}{2}$

$\displaystyle x_m=\frac{-4}{2}=-2$

$\displaystyle y_m=\frac{4-6}{2}$

$\displaystyle y_m=\frac{-2}{2}=-1$

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