Question

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

Answer 1

The midpoint formula is:
\[(\frac{ x _{1} + x _{2}}{ 2 }, \frac{ y_{1} + y_{2}}{ 2 })\]
We know that x1 = 6, and y1 = -4 (taken from the coordinates of A) We also know that the midpoint is (4,2) Therefore,
\[\frac{ 6 + x }{ 2 } = 4\]
and
\[\frac{ -4 + y }{ 2}= 2\]
Does that make sense?

Answer 2

yes.

Answer 3

x = 2?
and
y= 8?

Answer 4

so midpoint is
(2,8).

Answer 5

You got it! Glad I could help :)

Answer 6

Thanks :)