SOLUTION: plot the points in the coordinate plane. what is the distance and the midpoints of (1,1),(9,7)

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Question 84854: plot the points in the coordinate plane. what is the distance and the midpoints of (1,1),(9,7)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: To find midpoint of segment connecting two point
The Coordinates of mid point of a line segment joining two points can be calculated using following formulas.

X coordinate of mid point is

X%5Bmid%5D=+%28X+coordinate_of_first_point+%2B+X+coordinate_of_first_point%29%2F2


X%5Bmid%5D+=%281%2B9%29%2F2


X%5Bmid%5D+=%281%2B9%29%2F2=5


Y coordinate of mid point is

Y%5Bmid%5D=+%28Y+coordinate_of_first_point+%2B+Y+coordinate_of_first_point%29%2F2


Y%5Bmid%5D+=%281%2B7%29%2F2


Y%5Bmid%5D=%281%2B7%29%2F2=4

Hence, The mid point of segment joining two point (1,1) and (9,7) is (5,4)



Solved by pluggable solver: Distance between two points in two dimensions
The distance (denoted by d) between two points in two dimensions is given by the following formula:

d=sqrt%28%28x1-x2%29%5E2+%2B+%28y1-y2%29%5E2%29

Thus in our case, the required distance is
d=sqrt%28%281-9%29%5E2+%2B+%281-7%29%5E2%29=+10+


For more on this concept, refer to Distance formula.



graph of points (1,1),(9,7) with the midpoint (5,4)