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

oliadas73

Answered question

2022-09-06

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?

Answer & Explanation

Matthew Benton

Matthew Benton

Beginner2022-09-07Added 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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