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:
[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]
[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]
We have the endpoints (0,4) and (-4,-6):
[tex]\displaystyle x_m=\frac{0-4}{2}[/tex]
[tex]\displaystyle x_m=\frac{-4}{2}=-2[/tex]
[tex]\displaystyle y_m=\frac{4-6}{2}[/tex]
[tex]\displaystyle y_m=\frac{-2}{2}=-1[/tex]
The coordinates of the midpoint are (-2,-1)
