document.write( "Question 552954: determine the general equation of the line describe by the following
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document.write( "a)line passing through (-1,-3) and parallel to 2x-3y+6=0
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document.write( "b)perpendicular bisector of the segment form through (2,7)and (4,3) \n" );
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Algebra.Com's Answer #360590 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 2 x -3 y = -6 \n" ); document.write( "Find the slope of this line \n" ); document.write( "make y the subject \n" ); document.write( "-3 y = -2 x + -6 \n" ); document.write( "Divide by -3 \n" ); document.write( " y = 2/ 3 x + 2 \n" ); document.write( "Compare this equation with y=mx+b \n" ); document.write( "slope m = 2/ 3 \n" ); document.write( "The slope of a line parallel to the above line will be the same \n" ); document.write( "The slope of the required line will be 2/ 3 \n" ); document.write( "m= 2/ 3 ,point ( -1 , -3 ) \n" ); document.write( "Find b by plugging the values of m & the point in \n" ); document.write( "y=mx+b \n" ); document.write( "-3 = - 2/ 3 + b \n" ); document.write( "b= -7/ 3 \n" ); document.write( "m= 2/3 \n" ); document.write( "Plug value of the slope and b in y = mx +b \n" ); document.write( "The required equation isy = (2/ 3)x-7/ 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------\r \n" ); document.write( "\n" ); document.write( "(2,7)and (4,3) \n" ); document.write( "use mid point formula \n" ); document.write( "mid point x= (x+x2)/2, y= (y1+y2)/2 \n" ); document.write( "x=(4+2)/2=3 \n" ); document.write( "y=(3+7)/2 = 5 \n" ); document.write( "find the perpendicular line passing through (3,5) to 2x-3y=-6\r \n" ); document.write( "\n" ); document.write( "2 x -3 y = -6 \n" ); document.write( "Find the slope of this line \n" ); document.write( " \n" ); document.write( "-3 y = -2 x -6 \n" ); document.write( "Divide by -3 \n" ); document.write( " y = 2/ 3 x + 2 \n" ); document.write( "Compare this equation with y=mx+b \n" ); document.write( "slope m = 2/3 \n" ); document.write( " \n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal \n" ); document.write( "m1*m2=-1 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "m= -1 1/2 ,point ( 3 , 5 ) \n" ); document.write( "Find b by plugging the values of m & the point in \n" ); document.write( "y=mx+b \n" ); document.write( "5 = -4.50 + b \n" ); document.write( "b= 9.5 \n" ); document.write( "m= -3/2 \n" ); document.write( "The required equation is y = -3/ 2 x + 19/ 2 \n" ); document.write( "m.ananth@hotmail.ca \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |