document.write( "Question 481674: 1. Write an equation of the line containing the given point and parallel to the given line.
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document.write( "(-5,2); 4x=5y+7
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document.write( "The equation of the line is y=__________
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document.write( "Express your answer in the form y=mx+b. \r
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document.write( "2.Write an equation of the line containing the given point and perpendicular to the given line.
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document.write( "(4,8); 9x+y=8
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document.write( "The equation of the line is y=__________
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document.write( "Express your answer in the form y=mx+b. \r
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document.write( "Please help, I have tried solving it and keep getting it wrong! \n" );
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Algebra.Com's Answer #329810 by mananth(16949) You can put this solution on YOUR website! 1. Write an equation of the line containing the given point and parallel to the given line. \n" ); document.write( "(-5,2); 4x=5y+7 \n" ); document.write( "4 x -5 y = 7 \n" ); document.write( "Find the slope of this line \n" ); document.write( "make y the subject \n" ); document.write( "-5 y = -4 x + 7 \n" ); document.write( "Divide by -5 \n" ); document.write( " y = 0.8 x -1.4 \n" ); document.write( "Compare this equation with y=mx+b \n" ); document.write( "slope m = 0.8 0.8 \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 0.8 => 4/5 \n" ); document.write( "m= 4/5 ,point ( -5 , 2 ) \n" ); document.write( "Find b by plugging the values of m & the point in \n" ); document.write( "y=mx+b \n" ); document.write( "2 = -4.00 + b \n" ); document.write( "b= 6 \n" ); document.write( "m= 4/5 \n" ); document.write( "Plug value of the slope and b in y = mx +b \n" ); document.write( "The required equation is y = 4/ 5 x + 6 \r \n" ); document.write( "\n" ); document.write( "2.Write an equation of the line containing the given point and perpendicular to the given line. \n" ); document.write( "(4,8); 9x+y=8 \n" ); document.write( "1 y = -9 x + 8 \n" ); document.write( "Divide by 1 \n" ); document.write( " y = -9 x + 8 \n" ); document.write( "Compare this equation with y=mx+b \n" ); document.write( "slope m = -9.00 \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( "The slope of the required line will be 1/9 0.11 = \n" ); document.write( " \n" ); document.write( "m= 1/9 ,point ( 4 , 8 ) \n" ); document.write( "Find b by plugging the values of m & the point in \n" ); document.write( "y=mx+b \n" ); document.write( "8 = 0.44 + b \n" ); document.write( "b= 68/9 \n" ); document.write( "m= 1/9 \n" ); document.write( "The required equation is y= (1/9)x+68/9 \n" ); document.write( "m.ananth@hotmail.ca \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |