Question

Find the midpoint of the line segment whose endpoints are (-2, 5) and (6, -9).

(2, -2)
(1, -4)
(4, -4)

Answer 1

The midpoint of the line segment whose endpoints are (-2, 5) and (6, -9) is: (2,-2)

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

`M(x,y) = ((x_1+x_2)/(2), (y_1+y_2)/(2))`

Let

(x1,y1) = (-2, 5)

(x2,y2) = (6, -9)

Putting the values in the formula, we get

`M(x,y) = ((-2+6)/(2), (5-9)/(2))\\M(x,y) = ((4)/(2), (-4)/(2))\\= (2,-2)`

Hence,

The midpoint of the line segment whose endpoints are (-2, 5) and (6, -9) is: (2,-2)