Question

A line segment has endpoints F(2, 2) and G(8, 2) Find the coordinates of its midpoint M

Answer 1

(5,2)

Explanation:

The midpoint of a line segment is calculated by finding the average of the x values and the average of the y values of the endpoints.

`midpoint=((x_1+x_2)/(2),(y_1+y_2)/(2) )` when the points given are
`(x_1,y_1)` and
`(x_2,y_2)`

Plug points F(2,2) and G(8,2) into the equation

`midpoint=((2+8)/(2),(2+2)/(2) )\\midpoint=((10)/(2),(4)/(2) )\\midpoint=(5,2)`

Therefore, the midpoint of the line segment with endpoints F and G is (5,2).

I hope this helps!