document.write( "Question 1178094: P(6,3) Q(4,7) and R(3,1) are the midpoints of the sides of the triangle ABC. Find the equation of the line AB.Find the equation of the perpendicular bisector of the line AC. \n" ); document.write( "
Algebra.Com's Answer #807252 by mananth(16946)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The slope of a line passing through the two points P=(x1,y1) and Q=(x2,y2) is given by m=(y2−y1)/(x2−x1.) \n" ); document.write( "We have that x1=6, y1=3, x2=4, y2=7. \n" ); document.write( "Plug the given values into the formula for slope: m=((7)−(3))/((4)−(6))=4/−2 \n" ); document.write( "=−2. \n" ); document.write( "PQ || AB \n" ); document.write( "slope of AB = -2 \n" ); document.write( "Find equation knowing slope and point \n" ); document.write( "m= -2\r \n" ); document.write( "\n" ); document.write( "Plug value of the slope and point ( 3 , 1 ) in \n" ); document.write( "Y = m x + b \n" ); document.write( "1.00 = -6 + b \n" ); document.write( "b= 1.00 - -6 \n" ); document.write( "b= 7 \n" ); document.write( "So the equation will be \n" ); document.write( "Y = -2 x + 7\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |