Point A(-4,1) is in standard (x,y) coordinate plane. What must be the coordinates of point B so that the line x=2 is the perpendicular bisector of ab?

oliadas73 2022-09-06 Answered
Point A(-4,1) is in standard (x,y) coordinate plane. What must be the coordinates of point B so that the line x=2 is the perpendicular bisector of ab?
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Answers (1)

Matthew Benton
Answered 2022-09-07 Author has 9 answers
Let,the coordinate of B is (a,b)
So,if AB is perpendicular to x=2 then,its equation will be Y=b where b is a constant as slope for the line x=2 is 90 , hence the perpendicular line will have a slope of 0
Now,midpoint of AB will be ( - 4 + a 2 ) , ( 1 + b 2 )
clearly,this point will lie on x=2
So, - 4 + a 2 = 2
or, a=8
And this will lie as well on y=b
so, 1 + b 2 = b
or, b=1
So,the coordinate is (8,1)
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