Question

Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8) Midpoint (0,9)​

Answer 1

(-9, 10)

Explanation:

The location of the midpoint of a line with endpoint at (
`x_1,y_1`) and (
`x_2,y_2`) is given as (x, y). The location of x and y are:

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

Given the endpoint (9,8) and Midpoint (0,9), the location of the other endpoint can be gotten from:

`0=(9+x_2)/(2)\\ \\9+x_2=0\\\\x_2=-9\\\\Also,9=(8+y_2)/(2)\\ \\8+y_2=18\\\\y_2=18-8\\\\y_2=10`

Hence the endpoint is at (x2, y2) which is at (-9, 10)