# High School Math : How to find the midpoint of a line segment

## Example Questions

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### Example Question #1 : Coordinate Geometry

What would be the midpoint of a line segment with endpoints at  and ?

Explanation:

The midpoint of a line segment is halfway between the two  values and halfway between the two  values.

Mathematically, that would be the average of each coordinate: .

Plug in the  values from the given points and solve.

We can simplify the fraction to give our final answer.

### Example Question #1 : How To Find The Midpoint Of A Line Segment

What would be the midpoint of a line segment with endpoints at  and ?

Explanation:

The midpoint of a line segment is halfway between the two  values and halfway between the two  values.

Mathematically, that would be the average of each coordinate: .

Plug in the  values from the given points and solve.

Simplify the fractions to get the final answer.

### Example Question #3 : Lines

If a line has a midpoint at , and the endpoints are  and , what is the value of ?

Explanation:

The midpoint of a line segment is halfway between the two  values and halfway between the two  values.

Mathematically, that would be the average of the coordinates: .

Plug in the  values from the given points.

Now we can solve for the missing value.

The  values reduce, so both  values equal . Now we need to create a new equation to solve for the  value.

Multiply both sides by  to solve.

### Example Question #3 : Coordinate Geometry

What is the midpoint of a line segment with endpoints  and ?

Explanation:

The midpoint formula is this: .

Plug in the given values from our points and solve:

### Example Question #4 : Coordinate Geometry

What is the midpoint of the line segment with endpoints at  and ?

Explanation:

The midpoint formula is this: .

Plug in the given values from our points and solve:

### Example Question #5 : Coordinate Geometry

Find the midpoint between (4, 3) and (6, 9).

Explanation:

Add up the 's and divide in half, which results in 5. Do the same to the 's and you get 6. Put the  and  in an ordered pair so that your answer is (5, 6).

### Example Question #6 : Coordinate Geometry

What is the midpoint of the line segment which connects  and

Explanation:

To find the midpoint of a line segment, we find the average of the x and y coordinates of the endpoints. The average of two numbers is the sum of those numbers divided by . Thus, to find the x-coordinate of our midpoint, we find the average of  and , and we get .

To find the y-coordinate of our midpoint, we find the average of  and , which is .

Thus, our midpoint is

### Example Question #2 : How To Find The Midpoint Of A Line Segment

Find the midpoint of the line segment with end points  and .

Explanation:

To find the midpoint of a line segment, use the standard equation:

Plugging in the given points:

### Example Question #6 : Coordinate Geometry

Find the midpoint of these two points:

and

Explanation:

The standard formula to find the midpoint of two points is .

Plug in the given points to find the answer:

### Example Question #8 : Coordinate Geometry

A line segment has endpoints at  and . What is the midpoint of this segment?