SOLUTION: Point A (4,1)is in the 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? A.(-6,1) B.(4-,-1) C

Algebra ->  Linear-equations -> SOLUTION: Point A (4,1)is in the 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? A.(-6,1) B.(4-,-1) C      Log On


   



Question 89680: Point A (4,1)is in the 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?
A.(-6,1) B.(4-,-1) C.(-4,3) D.(-2,1) E.(8,1)
Note:Please explain step by step for each problem.

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
x=2 is a vertical line ... to be perpendicular, the line AB must be horizontal so B has the same y-coordinate as A

if x=2 bisects AB then 2 is midway between the x-coordinates of A and B ... (4+x)/2=2 ... 4+x=4 ... x=0

B is (0,1) ... none of the above