# Algebra 1 : Functions and Lines

## Example Questions

### Example Question #45 : How To Find The Midpoint Of A Line Segment

Find the midpoint of the given set of coordinates:

Explanation:

To find the midpoint, we must plug in the values for both points into the midpoint formula:

### Example Question #41 : How To Find The Midpoint Of A Line Segment

What is the midpoint of a line segment with the end points   and ?

Explanation:

In order to solve for the midpoint of a line segment when the end points are given, the x and y values must be averaged.

A formula for this would be:

This probem may be quickly solved for by substituting in the given information.

### Example Question #41 : How To Find The Midpoint Of A Line Segment

Find the midpoint of a line segment with  and  as its endpoints.

Explanation:

In order to solve for the midpoint of a line segment when the end points are given, the x and y values must be averaged.

A formula for this would be:

This probem may be quickly solved for by substituting in the given information.

### Example Question #41 : How To Find The Midpoint Of A Line Segment

A line segment has the endpoints  and . What's the midpoint of the line segment?

Explanation:

In order to solve for the midpoint of a line segment when the end points are given, the x and y values must be averaged.

A formula for this would be:

This probem may be quickly solved for by substituting in the given information.

### Example Question #881 : Functions And Lines

What is the midpoint of a line segment AB is A is at  and B is at ?

Explanation:

This kind of problem can be quickly solved for by using the midpoint formula:

where (x1,y1) and (x2,y2). Either of the endpoints may be assigned as either coordinate point.

Substituting in the information,

### Example Question #4171 : Algebra 1

Find the midpoint of a line segment with the endpoints  and .

Explanation:

This kind of problem can be quickly solved for by using the midpoint formula:

where  and . Either of the endpoints may be assigned as either coordinate point.

Substituting in the information,

### Example Question #1 : Midpoint Formula

What is the midpoint of a line that connects the points  and ?

Explanation:

The midpoint formula is .

Therefore, all we need to do is plug in the points given to us to find the midpoint.

In this case, .

To find the -value for the midpoint, we add: . Then we divide by : .

To find the -value for the midpoint, we add: . Then we divide by : .

So our solution is .

### Example Question #881 : Functions And Lines

Find the midpoint of the line segment with the endpoints of  and

Explanation:

To find the midpoint of a line segment, take the two endpoints and use the following formula:

Using this formula, we know

is the same as

Using substitution, we get

Therefore, the midpoint of the line segment formed by the endpoints  is .

### Example Question #51 : How To Find The Midpoint Of A Line Segment

Find the midpoint of the line segment with the following endpoints: .

Explanation:

To find the midpoint of this segment, we plug the values of our respective coordinates into the midpoint formula:

Simplify.

### Example Question #52 : How To Find The Midpoint Of A Line Segment

Find the point located exactly halfway between the points  and

Explanation:

Find the point located exactly halfway between the points  and

We can find the midpoint of any pair of points via the following:

All we need to do is plug in our given points.

We'll call  point 2 and  point 1

So,