SOLUTION: 1. On a coordinate plane, find the midpoint (M) of a segment with the following endpoints: A(1, 5) and B(5, 10).

Algebra ->  Length-and-distance -> SOLUTION: 1. On a coordinate plane, find the midpoint (M) of a segment with the following endpoints: A(1, 5) and B(5, 10).      Log On


   

Question 1022406: 1. On a coordinate plane, find the midpoint (M) of a segment with the following endpoints: A(1, 5) and B(5, 10).
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Solved by pluggable solver: Midpoint


The first point is (x1,y1). The second point is (x2,y2)


Since the first point is (1, 5), we can say (x1, y1) = (1, 5)
So x%5B1%5D+=+1, y%5B1%5D+=+5


Since the second point is (5, 10), we can also say (x2, y2) = (5, 10)
So x%5B2%5D+=+5, y%5B2%5D+=+10


Put this all together to get: x%5B1%5D+=+1, y%5B1%5D+=+5, x%5B2%5D+=+5, and y%5B2%5D+=+10

----------------------------------------------------------------------------------------




Finding the x coordinate of the midpoint: Add up the corresponding x coordinates x1 and x2 and divide that sum by 2


X Coordinate of Midpoint = %28x%5B1%5D%2Bx%5B2%5D%29%2F2


X Coordinate of Midpoint = %281%2B5%29%2F2


X Coordinate of Midpoint = 6%2F2


X Coordinate of Midpoint = 3



So the x coordinate of the midpoint is 3


----------------------------------------------------------------------------------------


Finding the y coordinate of the midpoint: Add up the corresponding y coordinates y1 and y2 and divide that sum by 2


Y Coordinate of Midpoint = %28y%5B1%5D%2By%5B2%5D%29%2F2


Y Coordinate of Midpoint = %285%2B10%29%2F2


Y Coordinate of Midpoint = 15%2F2


Y Coordinate of Midpoint = 7.5


So the y coordinate of the midpoint is 7.5



===============================================================================


Summary:


The midpoint of the segment joining the two points (1, 5) and (5, 10) is (3, 7.5).


So the answer is (3, 7.5)