Question

The midpoint of bar AB is M(1,3). If the coordinates of A are (8,1), what are the coordinates of B ?

Answer 1

(-6, 5)

Explanation:

Given the fact we already have the midpoint and one of the endpoints, we should be able to find the second endpoint using the formula to calculate the midpoint.

Formula to calculate the midpoint:


`m=(x+x^2)/(2)` &
`m=(y+y^2)/(2)`
midpoint = (1, 3)
endpoint 1 = (8,1)


`m=(x+x^2)/(2)`
Substitute and solve:

`m=(-6+8)/(2) =1`


`m=(y+y^2)/(2)`
Substitute and solve:

`m=(5+1)/(2)=3`

Therefore your answer is (-6, 5).

I hope this helps.