Question

A segment has midpoint at (2,-4) and an endpoint at (5,-9). What are the coordinates of the other endpoint?

Answer 1

The coordinates of the other endpoint are (-1,1).

Step-by-step explanation:

Mid point = (2,-4)

One endpoint = (5,-9)

We need to find the coordinates of the other mid points. Let it is (x₂,y₂). Using the mid point formula to find it.

`\text{Mid-points}(x_m,y_m)=((x_1+x_2)/(2), (y_1+y_2)/(2))`

We have,
`x_m=2, y_m=-4, x_1=5, y_1=-9`

`\text{Mid-points}(2,-4)=((5+x_2)/(2), ((-9)+y_2)/(2))\\\\(5+x_2)/(2)=2\ \text{and}\ (y_2-9)/(2)=-4\\\\5+x_2=4\ \text{and}\ y_2-9=-8\\\\x_2=-1\ \text{and}\ y_2=1`

So, the coordinates of the other endpoint are (-1,1).