Given the following endpoint (A) and midpoint (M), find the other endpoint (B).
M(2, 3)
A(0, -1)
1) (7, 4)
2) (3, 2)
3) (-1, 0)
4) (4, 7)

Question

Given the following endpoint (A) and midpoint (M), find the other endpoint (B).
M(2, 3)
A(0, -1)
	1)	(7, 4)
	2)	(3, 2)
	3)	(-1, 0)
	4)	(4, 7)

anonymous · Answer

The midpoint of an interval is given by$$(a,b)=(\frac{x_1+x_2}{2})+(\frac{y_1+y_2}{2})$$Hence, we can identify,$$a=\frac{x_1+x_2}{2}$$and$$b=\frac{y_1+y_2}{2}$$In this case, we have,$$2=\frac{0+x}{2} \rightarrow x=4$$and$$3=\frac{-1+y}{2} \rightarrow y=7$$So the other point is (4,7).