# If P (4,-1) is the midpoint of the segment AB, where A (2, 5), what is B?

##### 1 Answer

#### Answer:

B is (6, -7)

#### Explanation:

First, we have to see how the x and y coordinates has changed between A and P.

A(2, 5) , P(4, -1)

Let's have a look at the x coordinates.

From A to P, the x coordinate has moved 2 steps in positive direction

This means that the x coordinate of B will be:

Where x(P) is the x coordinate of P, and x(B) is the x coordinate of B.

Let's do the same thing with the y-coordinates.

The y coordinate has moved 6 steps in negative direction (or -6 steps). You can calculate this by taking the

That means that the y coordinate of B is 6 less than the y coordinate of P.

This gives us B(6, -7).