document.write( "Question 1177471: Two points have coordinates A(2,3) and B(6,7).If C(7,t) lies on the perpendicular bisector of AB,find the value of t. Find the coordinates of D such that line AB is the perpendicular bisector of CD. \n" ); document.write( "
Algebra.Com's Answer #806521 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! the equation of the line AB:slope is 4/4=1 \n" ); document.write( "y-y1=m(x-x1), m slope (x1, y1) point \n" ); document.write( "so y-3=1(x-2) \n" ); document.write( "y=x+1 \n" ); document.write( "- \n" ); document.write( "midpoint of AB is half way between x s and half way between y s or (4,5) \n" ); document.write( "so the equation of the line has slope -1 (negative reciprocal of 1 for perpendicular bisector) and the equation is y-5=-1(x-4) \n" ); document.write( "y=-x+9 \n" ); document.write( "we are given that C has coordinates (7, t) \n" ); document.write( "so when x=7, y=2 \n" ); document.write( "t=2 \n" ); document.write( "I am not clear what D is, but C is (7, 2) and the two lines have the equations given above and the graph shows this below. \n" ); document.write( "------------- \n" ); document.write( " |