SOLUTION: point A (-4,1) is in the standard (x,y) coordintae plane.what must be the coordinates of point B so that the line x=2 is the perpendicular bisector of AB

Algebra ->  Coordinate-system -> SOLUTION: point A (-4,1) is in the standard (x,y) coordintae plane.what must be the coordinates of point B so that the line x=2 is the perpendicular bisector of AB      Log On


   

Question 203905: point A (-4,1) is in the standard (x,y) coordintae plane.what must be the coordinates of point B so that the line x=2 is the perpendicular bisector of AB
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
The line x=2 is a vertical line thru the point (2,0).
You are asked to find point B such that the line x=2, is both perpendicular to and bisecting the line segment AB
Since x=2 is vertical (an undefined slope), then the segment AB must be horiztonal. In order to horizontal, the y coordinate from B must be the same as the y coordinate in point A.
so B = someXvalue%2C+1
The x coordinate of A is -4, so that coordinate is 2 - (-4) = 6 units from the nearest point on the line x=2
In order to be bisector, that means the closest point to B is also a distance of 6.
so B = 2%2B6%2C1 = 8%2C1
Now plot them and see if the logic works :)