Question

What is the length of a segment with an endpoint of (-3, 1) and a midpoint of (8, 2)?

Answer 1

`(x_2, y_2)=(19, 3)`

Explanation:

If one end-point`(x_1, y_1)` and mid-point`(a, b)` of a line-segment is known, then we can use mid-point formula to find the second end-point#(x_2, y_2).

How to use midpoint formula to find an endpoint?

`(x_2, y_2)=(2a-x_1, 2b-y_1)`

Here,
`(x_1, y_1)=(-3, 1)`
and
`(a, b)=(8, 2)`

So,
`(x_2, y_2)=(2color(red)((8)) -color(red)((-3)), 2color(red)((2))-color(red)1)`
`(x_2, y_2)=(16+3, 4-1)`
`(x_2, y_2)=(19, 3)`