Answer:
The midpoint of the line segment whose endpoints are (-2, 5) and (6, -9) is: (2,-2)
Step-by-step explanation:
Given two points are:
(-2, 5) and (6, -9)
The mid-point is the point that divides a line segment in two equal parts.
Let M be the mid-point then
[tex]M(x,y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
Let
(x1,y1) = (-2, 5)
(x2,y2) = (6, -9)
Putting the values in the formula, we get
[tex]M(x,y) = (\frac{-2+6}{2}, \frac{5-9}{2})\\M(x,y) = (\frac{4}{2}, \frac{-4}{2})\\= (2,-2)[/tex]
Hence,
The midpoint of the line segment whose endpoints are (-2, 5) and (6, -9) is: (2,-2)
