document.write( "Question 723775: On your responses please include the text of the question, your set-up and work, and answer using full sentences.\r
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document.write( "5. Determine the equations of:
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document.write( "(a) the line that passes through the point ( -5, 3) and that is parallel to the line with equation y = 2x -3
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document.write( "(b) the line that passes through the point (2, 4) that is perpendicular to the line with equation y = (1/2)x -1\r
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Algebra.Com's Answer #443424 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 1 y = 2 x -3 \n" ); document.write( "Divide by 1 \n" ); document.write( " y = 2 x -3 \n" ); document.write( "Compare this equation with y=mx+b \n" ); document.write( "slope m = 2 \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 \n" ); document.write( "m= 2 ,point ( -5 , 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 = -10 + b \n" ); document.write( "b= 13 \n" ); document.write( "m= 2 \n" ); document.write( "Plug value of the slope and b in y = mx +b \n" ); document.write( "The required equation is y = 2 x + 13 \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1 y = 1/ 2 x -1 \n" ); document.write( "Divide by 1 \n" ); document.write( " y = 1/ 2 x + -1 \n" ); document.write( "Compare this equation with y=mx+b, m= slope & b= y intercept \n" ); document.write( "slope m = 1/2 \n" ); document.write( " \n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal -2 \n" ); document.write( "Because m1*m2 =-1 \n" ); document.write( "The slope of the required line will be -2 \n" ); document.write( " \n" ); document.write( "m= -2 ,point ( 2 , 4 ) \n" ); document.write( "Find b by plugging the values of m & the point in \n" ); document.write( "y=mx+b \n" ); document.write( "4 = -4 + b \n" ); document.write( "b= 8 \n" ); document.write( "m= -2 \n" ); document.write( "The required equation is y = -2 x + 8 \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |