document.write( "Question 330768: I'm having trouble with this problem. If anyone can help and explain how to get the answer that would be greatly appreciated. Have to take a test on thurs. \"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?\" Thanking you in advance. \n" ); document.write( "
Algebra.Com's Answer #237122 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Point A(-4,1) is in the standard (x,y) coordinate plane. \n" ); document.write( "What must be the coordinates of point B so that the line x=2 is the perpendicular bisector of AB?\" \n" ); document.write( "----- \n" ); document.write( "Plot the point (-4,1) \n" ); document.write( "Draw the line x = 2 \n" ); document.write( "--------------------------- \n" ); document.write( "Notice that the line passes thru (2,1) \n" ); document.write( "That point is the midpoint of AB \n" ); document.write( "--- \n" ); document.write( "Let (x,y) be the coordinates of \"B\". \n" ); document.write( "-------------------------------------- \n" ); document.write( "Solve for x and for y: \n" ); document.write( "(x+(-4))/2 = 2 \n" ); document.write( "x-4 = 4 \n" ); document.write( "x = 8 \n" ); document.write( "--------- \n" ); document.write( "(y+1)/2 = 1 \n" ); document.write( "y+1 = 2 \n" ); document.write( "y = 1 \n" ); document.write( "---------------------- \n" ); document.write( "The coordinates of \"B\" are(8,1) \n" ); document.write( "====================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |