document.write( "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 \n" ); document.write( "

Algebra.Com's Answer #153838 by vleith(2983) $\"\"$ $\"About$

You can put this solution on YOUR website!
The line $\"x=2\"$ is a vertical line thru the point (2,0).
\n" ); document.write( "You are asked to find point B such that the line x=2, is both perpendicular to and bisecting the line segment AB\r
\n" ); document.write( "\n" ); document.write( "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.
\n" ); document.write( "so B = $\"someXvalue%2C+1\"$
\n" ); document.write( "The x coordinate of A is -4, so that coordinate is 2 - (-4) = 6 units from the nearest point on the line $\"x=2\"$
\n" ); document.write( "In order to be bisector, that means the closest point to B is also a distance of 6.
\n" ); document.write( "so B = $\"2%2B6%2C1\"$ = $\"8%2C1\"$ \r
\n" ); document.write( "\n" ); document.write( "Now plot them and see if the logic works :) \n" ); document.write( "

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