Question 1085932: Find the coordinates of the midpoint of a segment with the end points (16,5) & (28, -13)
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! Let's define
P = (16,5)
Q = (28,-13)
as the two given points
Let M be the midpoint. We don't know the coordinates for M, so we'll make M = (x,y).
To find the x coordinate of M, we add up the x coordinates of P and Q, then divide by 2
x = (x coord of P + x coord of Q)/2
x = (16+28)/2
x = (44)/2
x = 22
Do the same for the y coordinates as well
y = (y coord of P + y coord of Q)/2
y = (5+(-13))/2
y = (5-13)/2
y = (-8)/2
y = -4
Because x = 22 and y = -4, this means the midpoint is M = (x,y) = (22, -4)
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