# Algebra 1 : How to find the midpoint of a line segment

## Example Questions

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### Example Question #1 : Midpoint Formula

Find the midpoint on the line segment from (2, 3) to (4, 1).

(3, 2)

(6, 4)

(–2, 2)

(2, 2)

(2, –2)

(3, 2)

Explanation:

By using the midpoint formula, we can find the x and y coodinantes fo the midpoint.

Our coordinates are (3, 2).

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

Point X (2, 9) and Point Y (8, 3) are endpoints on a line segment. What is the Midpoint M of that line segment?

Explanation:

To find the midpoint of a line segment, you add together the  components and divide by two ( = 5) , do the same for  ( =6). The answer is (5, 6).

### Example Question #1 : Midpoint Formula

What is the midpoint of the points (3,12) and (9,15)?

Explanation:

To find the midpoint we must know the midpoint formula which is

We then take the -coordinate from the first point and plug it into the formula as .

We take the -coordinate from the second point and plug it into the formula as .

We then do the same for  and .

With all of the points plugged in our equation will look like this.

We then perform the necessary addition and division to get the answer of

### Example Question #6 : Midpoint Formula

Find the midpoint of the line segment that connects the two points below.

Point 1:

Point 2:

Explanation:

The average of the the -coordinates and the average of the y-coordinates of the given points will give you the mid-point of the line that connects the points.

, where  is and  is .

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

Find the midpoint that falls between  and .

Explanation:

The midpoint formula is .

When we plug in our points, we get .

So, our final answer is .

### Example Question #3 : How To Find The Midpoint Of A Line Segment

A line is drawn from (2,4) to (8,28).  What are the coordinates of its midpoint?

Explanation:

The length to the midpoint is the difference between the two points divided by two.  That number must then be added to the point:

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

A line segment begins at  and ends at the point .  What is the location of its midpoint?

Explanation:

The difference in -values is 14 and the difference in -values is 8.  The midpoint therefore differs by values of 7 and 4 from either of the endpoints.

Explanation:

### Example Question #6 : How To Find The Midpoint Of A Line Segment

A line has endpoints of and . What is its midpoint?

Explanation:

The midpoint formula is

To find the midpoint of and , you simply plug in the points into the midpoint formula: , which gives you the point .

### Example Question #7 : How To Find The Midpoint Of A Line Segment

A line has endpoints of  and . What is its midpoint?