The midpoint of AB is M(3,1). If the coordinates of A are (4,3), what are the coordinates of B?

Answer 1

I will set this up for you, and YOU do the finishing steps.

x_M = (x_A + x_B) / 2

y_M = (y_A + y_B) / 2

Given:

x_M = 3

y_M = 1

x_A = 4

y_A = 3

Then

3 = (4 + x_B) / 2

1 = (3 + y_B) / 2

Now solve these last two equations for x_B and y_B, and you are done.