Question

The coordinate of the midpoint of segment AB is (-3, 2). Find the coordinate of A if the coordinate of B is (0, 2).

A =

(-6,2)
(-3/2,2)
(3,2)

Answer 1

@alyisnumber1
@nikato

Answer 2

@phi

Answer 3

@babygirl19961216

Answer 4

@Bad.Coding
@Juicstice

Answer 5

Know how the midpoint formula is done?

Answer 6

is it (-3/2,2)?

Answer 7

For the x or y value of a midpoint, it is the average of the other points. So the average of the xes is the midpoint x. So you would plug in the known and solve for the unknown.

I have not done the process, so not sure here.

There is another way as well. A little logic about what the midpoint means and how much change is happening.

Answer 8

For any line from \((x_1,y_1)\) to \((x_2,y_2)\) the midpoint \((x_m,y_m)\) is \(\left ( \dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2} \right )\).

So put in what you know and solve for the unknown with:

\(x_m=\dfrac{x_1+x_2}{2}\)

\(y_m=\dfrac{y_1+y_2}{2}\)

Answer 9

so its (3,2)? im confused

Answer 10

Well, what are you getting as the setup when you plug values into one of those?