Question

The midpoint of AB is M(4,-2). If the coordinates of A are (3, -6), what are the

coordinates of B?

Answer 1

okay here we go

Explanation:

`in \: vectos \: ab \: means \: ob - oa \\ but \: the \: midpoint \: m \: is \: equal \: to \: a \: half \: of \: ab \\ \\ therefore \: m = (1)/(2) ab \\ = (1)/(2) (ob - oa) \\ = (1)/(2) (ob - (3. - 6)) \\ (4. - 2) = (1)/(2) (ob - (3. - 6)) \\ (8. - 4) = (ob - (3. - 6)) \\ ob = (11. - 2)`