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:

Since we are given one endpoint and the midpoint of the line segment 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)`

`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 the second endpoint would be (-6, 5).

I hope this helps.