plot Math aid » Algebra » Coordinate aircraft » currently » Midpoint Formula » exactly how to find the midpoint that a line segment
Explanation:

The midpoint formula is 

*

 

 


Explanation:

The midpoint formula is same to 

*
. Add the x-values together and also divide castle by 2, and do the very same for the y-values.

You are watching: Find the coordinates of the midpoint of the segment whose endpoints are (10, 6) and (-4, 8).

x: (2 + 8) / 2 = 10 / 2 = 5

y: (6 + 4) / 2 = 10 / 2 = 5

The midpoint of MN is (5,5).


In the typical coordinate plane, what is the midpoint that a line segment the goes from the suggest (3, 5) to the point (7, 9)?


Explanation:

The midpoint formula is

*
. One easy means to psychic this is that finding the midpoint simply requires the you find the averageof the two x-coordinates and the mean of the two y-coordinates. In this case, the 2 x-coordinates space 3 and also 7, and the two y-coordinates room 5 and also 9. If we substitute these values into the midpoint formula, we gain (3 + 7/2), (5 + 9)/2, which amounts to (5, 7). If you obtained (–2, –2), girlfriend may have subtracted your x and also y-coordinates rather of adding. If you acquired (10,14), friend may have forgotten to division your x and also y-coordinates by 2. If you gained (6,6), you might have uncovered the median of x1 and also y2 and also x2 and also y1 instead of maintaining the x-coordinates together and also the y-coordinates together. If you gained (7, 5), girlfriend may have switched the x and y-coordinates.

 


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Example question #4 : exactly how To find The Midpoint that A heat Segment


Find the midpoint that a heat segment with endpoints (–1, 4) and (3, 6).


Possible Answers:

(1, 5)


(5, 1)


(3, 2)


(4, 5)


Correct answer:

(1, 5)


Explanation:

The formula for midpoint = (x1 + x2)/2, (y1 + y2)/2. Substituting in the two x coordinates and two y coordinates from the endpoints, we acquire (–1 + 3)/2.

(4 + 6)/2 or (1, 5) as the midpoint.


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Example question #5 : just how To discover The Midpoint that A line Segment


In the traditional x, y coordinate plane what room the collaborates of the midpoint that a line whose endpoints are (–6, 4) and also (4, –6)?


Possible Answers:

–1, –1


1, 1


1, –1


–1, –1/2


–1, 1


Correct answer:

–1, –1


Explanation:

To deal with this trouble we usage the midpoint formula. We discover the median of the x and also y coordinates. (–6 + 4)/2, (4 + –6)/2 = –1, –1


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Example concern #6 : just how To find The Midpoint of A line Segment


What is the midpoint of a genuine number line with points at 

*
and
*
?


Possible Answers:

*



*


*


Correct answer:


Explanation:

Method A:

To find the midpoint, draw the number heat that consists of points 

*
and
*
.

*

Then calculate the distance between the two points. In this case, the distance between 

*
and 
*
is
*
. By splitting the distance in between the 2 points by 2, you establish the street from one point to the midpoint. Because the midpoint is 12 away from either end, the midpoint is 5.

*

 

Method B:

To find the midpoint, use the midpoint formula:

*

*

*


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Example inquiry #2 : just how To find The Midpoint of A line Segment


Janice and Mark work-related in a city with nicely gridded streets. If Janice works at the intersection that 33rd Street and also 7th Avenue, and also Mark functions at 15th Street and 5th Avenue, how numerous blocks will certainly they each travel to lunch if they accomplish at the intersection specifically in in between both offices?

 


Possible Answers:
Correct answer:

*


Explanation:

Translating the intersections right into points ~ above a graph, Janice works at (33,7) and also Mark works at (15,5). The midpoint that these two points is discovered by acquisition the median of the x-coordinates and also the median of the y-coordinates, offering ((33+15)/2 , (5+7)/2) or (24, 6). Travel in one direction in ~ a time, the variety of blocks from either office come 24th street is 9, and the number of blocks to sixth is 1, because that a complete of 10 blocks.

 


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Example concern #8 : exactly how To uncover The Midpoint of A line Segment


On the real number line, what is the midpoint in between

*
and 
*
?


Possible Answers:
Correct answer:

*


Explanation:

On the number line,

*
is 
*
systems away from 
*
.

*

We find the midpoint of this street by separating it by 2.

*

To find the midpoint, we include this worth to the smaller sized number or subtract the from the larger number.

*

The midpoint worth will it is in

*
.

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Example question #9 : exactly how To uncover The Midpoint of A line Segment


What is the midpoint between

*
 and
*


Possible Answers:
Correct answer:

*


Explanation:

Using the midpoint formula, 

*

 

We get:

*

Which becomes: i m sorry becomes 

*


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Example concern #10 : how To find The Midpoint the A line Segment


What is the midpoint that a heat segment with endpoints 

*
 and 
*
?


Possible Answers:
Correct answer:

*


Explanation:

The midpoint that a line have the right to be discovered using the midpoint formula, provided by:

*

Thus when we plugin our worths we acquire the midpoint is 

*

*

*


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