document.write( "Question 30467: Please help me work this problem. I have the answer but don't know how to work it. Please explain in very plain English terms! \r
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document.write( "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 ? (note: there is a line over AB) Thank you for your help...Karen \n" );
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Algebra.Com's Answer #17114 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! 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 ? (note: there is a line over AB) Thank you for your help...Karen \n" ); document.write( "LINE X=2 IS PARALLEL TO Y AXIS SO ITS PERPENDICULAR WOULD BE PARALLEL TO X AXIS \n" ); document.write( "HENCE ITS EQUATION SHALL BE Y=K......THAT IS EQN.OF AB SHALL BE Y=CONSTANT \n" ); document.write( "FURTHER X=2 BISECTS AB.HENCE MID POINT OF AB SHALL BE ON X=2 \n" ); document.write( "THAT IS X COORDINATE OF MIDPOINT SHALL BE EQUAL TO 2.IF WE TAKE POINT B AS (P,Q) \n" ); document.write( "THEN X COORDINATE OF MID POINT OF AB SHALL BE = (-4+P)/2=2 \n" ); document.write( "-4+P=4 \n" ); document.write( "P=8 \n" ); document.write( "WE SPROVED EARLIER THAT EQN OF AB SHALL BE IN THE FORM Y=CONSTANT..OR ITS SLOPE IS ZERO SINCE Y=CONSTANT MEANS ...Y=0*X+CONSTANT \n" ); document.write( "SLOPE OF AB =(Q-1)/(P-(-4))=0...SO Q-1=0...SO Q=1... \n" ); document.write( "HENCE POINT B IS (8,1) \n" ); document.write( "YOU WILL SEE ITS EQN. IS Y=1..TO UNDERSTAND HOW THEY LOOK LIKE SEE THE GRAPH BELOW\r \n" ); document.write( "\n" ); document.write( " |