if the mid point of the line segment joining the point P(6,a-2)and Q(-2,4)is (2,-4) then find the value of a
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Answer: P(6,b-2) Q(-2,4)
Midpoint of PQ = (2,-3)
=> (x1+x2/2,y1+y2/2) = (2,-3)
=> (6-2/2,b-2+4/2) = (2,-3)
=> (4/2,b+2/2) = (2,-3)
Comparing x coordinates,
=> 4/2 = 2
=> 2 = 2
Comparing y coordinates,
=> b+2/2 = -3
=> b+2 = -6
=> b = -8
Hope you understand.
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Answered by
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Answer:
By mid point formula
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