Midpoint of AC = (–1, –1)
Solution:
In the given graph we can find the coordinates of A and C.
Coordinates of A = (–4, 2)
Coordinates of C = (2, –4)
Here, [tex]x_1=-4,x_2=2,y_1=2,y_2=-4[/tex]
Let us find the midpoint of the segment AC.
Midpoint formula:
[tex]$\text{Midpoint} =\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)[/tex]
[tex]$=\left(\frac{-4+2}{2}, \frac{2-4}{2}\right)[/tex]
[tex]$=\left(\frac{-2}{2}, \frac{-2}{2}\right)[/tex]
[tex]$=(-1, -1)[/tex]
Midpoint of AC = (–1, –1)
Option D is the correct answer.
Hence the coordinates of the midpoint of the line segment AC is (–1, –1).
