document.write( "Question 788773: what is the equations of the lines that pass through the point (3,3 ) and are parallel to and perpendicular to the line with equation y +5 x=8.\r
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document.write( "Parallel: y=
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document.write( "Perpendicular: y= \n" );
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Algebra.Com's Answer #478605 by mananth(16946)![]() ![]() You can put this solution on YOUR website! PERPENDICULAR TO A LINE \n" ); document.write( "5 x + 1 y = 8 \n" ); document.write( "Find the slope of this line \n" ); document.write( " \n" ); document.write( "1 y = -5 x + 8 \n" ); document.write( "Divide by 1 \n" ); document.write( " y = -5 x + 8 \n" ); document.write( "Compare this equation with y=mx+b, m= slope & b= y intercept \n" ); document.write( "slope m = -5 \n" ); document.write( " \n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal 1/5 \n" ); document.write( "Because m1*m2 =-1 \n" ); document.write( "The slope of the required line will be 1/5 \n" ); document.write( " \n" ); document.write( "m= 1/5 ,point ( 3 , 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 = 3/ 5 + b \n" ); document.write( "b= 12/5 \n" ); document.write( "m= 1/5 \n" ); document.write( "The required equation is y = 1/ 5 x + 12/ 5 \n" ); document.write( " \n" ); document.write( "PARALLEL \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "5 x 1 y = 8 \n" ); document.write( "Find the slope of this line \n" ); document.write( "make y the subject \n" ); document.write( "1 y = -5 x + 8 \n" ); document.write( "Divide by 1 \n" ); document.write( " y = -5 x + 8 \n" ); document.write( "Compare this equation with y=mx+b \n" ); document.write( "slope m = -5 \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 -5 \n" ); document.write( "m= -5 ,point ( 3 , 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 = -15 + b \n" ); document.write( "b= 18 - 1/4 \n" ); document.write( "m= -5 1 3/4 \n" ); document.write( "Plug value of the slope and b in y = mx +b \n" ); document.write( "The required equation is y = -5 x + 18 \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |