Points, lines, and circles in the plane

Question

The midpoint of  is at . If , find .

Answer 1

Hi Kayla,

You need to use the midpoint formula for this.

X_midpoint = (X_A+X_B)/2 and Y_midpoint = (Y_A+Y_B)/2

that means: -5 = (-6+X_B)/2 and -2 = (-4+Y_B)/2

Multiplying both sides of each equation by 2 gets you:

-10 = (-6+X_B) and -4 = (-4+Y_B)

Now you can solve for X_B by adding 6 on both sides of that equation, so you get -4 = X_B

You can find Y_B by adding 4 to both sides of its equation, so you get 0 = Y_B

So B = (-4,0).

Cheers!