How do you find the missing coordinate given one point A(2, 8) and the midpoint M(5, 4)?

odcizit49o

odcizit49o

Answered question

2022-11-23

How do you find the missing coordinate given one point A(2, 8) and the midpoint M(5, 4)?

Answer & Explanation

Hailee West

Hailee West

Beginner2022-11-24Added 15 answers

Step 1
You can substitute the values you have into the midpoint formula:
The midpoint is
"the average of the x-values and the average of the y-values"
( x 1 + x 2 2 , y 1 + y 2 2 ) = M ( x , y )
2 + x 2 2 = 5 ... ... ... ... and 8 + y 2 2 = 4
2 + x 2 = 10 ... ... ... ... ... ... ... ... ... ... . . 8 + y 2 = 8
x 2 = 8 ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... . y 2 = 0
The other point is at ( 8 , 0 )
Amy Bright

Amy Bright

Beginner2022-11-25Added 4 answers

Step 1
Subtract the point A x-coordinate from the midpoint x-coordinate (final-initial) to find the distance between them.
This will give you 3.
Multiply the by 2 because the midpoint is halfway between point A and B.
This will give you 6. Add six to point A's x-coordinate and this will give you 8.
Do the same process with the y-coordinates to get 0, but be careful of the negative.

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