document.write( "Question 1199457: The equation of the perpendicular bisector of the line segment joining the points P
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document.write( "(7,4) and Q (a, b) is 4x + 3y - 15 = 0. The point Q is: \n" );
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Algebra.Com's Answer #833349 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The equation of the perpendicular bisector of PQ is 4x+3y-15=0, or y=(-4/3)x+5. \n" ); document.write( "The slope of the perpendicular bisector is -4/3, so the slope of PQ is 3/4. \n" ); document.write( "I'll outline the process for solving the problem and let you fill in the details. \n" ); document.write( "(1) Use the given point (7,4) and the slope of 3/4 to find the equation of line PQ. \n" ); document.write( "(2) Solve the pair of equations representing PQ and the perpendicular bisector to find the point of intersection. (You should find it is (3,1); that point is the midpoint of PQ). \n" ); document.write( "(3) Use the coordinates of P and the midpoint of PQ to find the coordinates of Q. (You should find it is Q(-1,-2)). \n" ); document.write( " \n" ); document.write( " |