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The midpoint of chord AB is ( , ), and the slope of chord AB is
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The midpoint of chord AB is ( , ), and the slope of chord AB is
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Mathematics
3 years
2021-08-18T00:25:35+00:00
2021-08-18T00:25:35+00:00 1 Answers
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Answer:
See solution below
Step-by-step explanation:
Let the coordinate’s of A and B be (1, 0) and (2,4) respectively
midpoint M (X, Y) = [(x1+x2/2, y1+y2/2)]
X = x1+x2/2
X = 1+2/2
X = 3/2
X = 1.5
Y = y1+y2/2
Y = 0+4/2
Y = 4/2
Y = 2
Hence the required midpoint (X, Y) is (1.5, 2)
Slope m = y2-y1/x2-x1
m = 4-0/2-1
m = 4/1
m = 4
Hence the slope is 4
Note that the coordinates are assumed but the same calculation can be employed for any other coordinates