Algebra 1 : Functions and Lines

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #65 : How To Find The Midpoint Of A Line Segment

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

Possible Answers:

Correct answer:

Explanation:

Finding the midpoint of a line segment only requires that we find the midpoint, or average of both the x and y components. In order to do that, we use the following formula:

For the points (-2,-4) and (4,6) plug in the numbers and solve:

 

This gives a final answer of  

Example Question #652 : Equations Of Lines

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

Possible Answers:

Correct answer:

Explanation:

Finding the midpoint of a line segment only requires that we find the midpoint, or average of both the x and y components. In order to do that, we use the following formula:

For the points (12,5) and (8,7) plug in the numbers and solve:

 

This gives a final answer of  

Example Question #653 : Equations Of Lines

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

Possible Answers:

Correct answer:

Explanation:

Finding the midpoint of a line segment only requires that we find the midpoint, or average of both the x and y components. In order to do that, we use the following formula:

For the points (7,7) and (1,1) plug in the numbers and solve:

 

This gives a final answer of  

Example Question #68 : How To Find The Midpoint Of A Line Segment

Find the midpoint of a line with the endpoings (0, 5) and (7, 1).

Possible Answers:

Correct answer:

Explanation:

When finding the midpoint between two points, we use the midpoint formula

where  and  are the points given. 

 

Knowing this, we can substitute the values into the formula.  We get

 

Therefore,  is the midpoint.

Example Question #2 : Midpoint Formula

Find the midpoint of a line with the endpoings (3, 4) and (-1, -1).

Possible Answers:

Correct answer:

Explanation:

When finding the midpoint between two points, we use the midpoint formula

where  and  are the points given. 

 

Knowing this, we can substitute the values into the formula.  We get

 

Therefore,  is the midpoint.

Example Question #70 : How To Find The Midpoint Of A Line Segment

Find the midpoint of the line segment with points  and .

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, you must know the midpoint formula. 

The first step is to plug in the coordinates of the endpoints given into the formula.

.

Do the addition written, and you would end up with .

This simplifies to .

The midpoint of the line segment with coordinates  and  is .

Example Question #71 : Midpoint Formula

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

Possible Answers:

Correct answer:

Explanation:

Finding the midpoint of a line segment only requires that we find the midpoint, or average of both the x and y components. In order to do that, we use the following formula:

For the points (-3,-4) and (17,6) plug in the numbers and solve:

 

This gives a final answer of  

Example Question #661 : Equations Of Lines

Find the midpoint of  and .

Possible Answers:

 

Correct answer:

 

Explanation:

Write the formula for the midpoint.  The midpoint is an order pair.

Substitute the points.

Simplify the expressions.

The midpoint is located at:  

Example Question #73 : How To Find The Midpoint Of A Line Segment

Find the midpoint of the line containing endpoings (-1, -1) and (-3, 9).

Possible Answers:

Correct answer:

Explanation:

To find the midpoint, we use the midpoint formula

where  and  are the endpoints.  

 

Given the endpoints (-1, -1) and (-3, 9), we can substitute into the formula.  We get

Therefore, the midpoint is (-2, 4).

Example Question #661 : Equations Of Lines

Find the midpoint of a line segment with endpoints of (-2, 0) and (-6, -4).

Possible Answers:

Correct answer:

Explanation:

To find the midpoint of a line segment given the endpoints, we will use the following formula:

where  and  are the endpoints given.  

 

Now, we can substitute the points given into the formula.  We get

 

Therefore, the midpoint of the endpoints (-2, 0) and (-6, -4) is (-4, -2).

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