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

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #12 : Midpoint Formula

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

Possible Answers:

None of the other answers

Correct answer:

Explanation:

To find the midpoint, use the midpoint formula: . Plug in the two ordered pairs to the formula to get: . Doing this will give you a solution of .

Example Question #841 : Functions And Lines

A line segment on the coordinate plane has endpoints  and  . Which quadrant or axis contains its midpoint?

Possible Answers:

Quadrant IV

Quadrant II

The -axis

Quadrant III

Quadrant I

Correct answer:

Quadrant II

Explanation:

The -coordinate of the midpoint is 

,

which is negative.

The -coordinate of the midpoint is 

,

which is positive.

Since the midpoint has a negative -coordinate and a positive -coordinate, the midpoint is in Quadrant II.

Example Question #11 : How To Find The Midpoint Of A Line Segment

A line segment on the coordinate plane has endpoints  and  . Which quadrant or axis contains its midpoint?

Possible Answers:

Quadrant IV

Quadrant III

Quadrant I

The -axis

Quadrant II

Correct answer:

Quadrant I

Explanation:

The -coordinate of the midpoint is 

,

which is positive.

The -coordinate of the midpoint is 

,

which is positive.

Since both coordinates are positive, the midpoint is in Quadrant I.

Example Question #843 : Functions And Lines

Determine the midpoint between the points  and  

 

Possible Answers:

Correct answer:

Explanation:

To find the midpoint you are actually finding the average of the two  values and the average of the two  values. 

Midpoint formula: 

 so we plug our points in to the equation, 

Simplify and divide

Midpoint: 

Example Question #4132 : Algebra 1

Find the midpoint of the line segment with endpoints  and .

Possible Answers:

Correct answer:

Explanation:

Use the midpoint formula:

 

Substitute:

The midpoint is 

Example Question #852 : Functions And Lines

Find the midpoint of the line segment with endpoints  and .

Possible Answers:

Correct answer:

Explanation:

Use the midpoint formula:

 

Substitute:

 

The midpoint is .

Example Question #11 : How To Find The Midpoint Of A Line Segment

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

Possible Answers:

Correct answer:

Explanation:

To find the midpoint, you can use the midpoint formula: .

Plug in  and into the formula: to get .

Example Question #2 : Midpoint Formula

Find the midpoint of the line segment with endpoints  and .

Possible Answers:

Correct answer:

Explanation:

Use the midpoint formula:

 

Substitute:

The midpoint is 

Example Question #12 : How To Find The Midpoint Of A Line Segment

What is the midpoint of a line with endpoints (2,5) and (18,-9)?

Possible Answers:

Correct answer:

Explanation:

To find the midpoint of the line, plug the endpoints into the distance formula: . This will give you , or a midpoint of .

Example Question #13 : How To Find The Midpoint Of A Line Segment

What is the midpoint of a line with endpoints of (12,3) and (28,9)?

Possible Answers:

Correct answer:

Explanation:

To find the midpoint of a line, plug the endpoints into the midpoint formula: 

This gives you 

or 

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