# How do you find the midpoint of (5,-2), (3,-6)?

##### 3 Answers

See the entire solution process below:

#### Explanation:

The formula to find the mid-point of a line segment give the two end points is:

Where

Substituting the values from the points in the problem gives:

#### Explanation:

The midpoint of a segment with endpoints:

So in this case the midpoint is:

The midpoint of (5 , -2), (3 , -6) is (4 , -4)

#### Explanation:

The midpoint formula is

For your points

From here all you need to do is substitute values.

(4 , -4)

To get a better understanding of this formula, remember that any number divided by 2 is the middle of that number. So what we are doing here is adding our points together and then dividing them by 2.

Here's a simple example:

What is the midpoint between (20 , 0) and (10 , 0)?

All I have to do is 20 + 10 = 30

and then divide by 2

(15 , 0)

I know this is the right answer because I can add and subtract the same number from my midpoint to return to my two original points. In this case that number is 5.

15 + 5 = 20

15 - 5 = 10