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
\n" ); document.write( "\n" ); document.write( "5. Determine the equations of:
\n" ); document.write( "(a) the line that passes through the point ( -5, 3) and that is parallel to the line with equation y = 2x -3
\n" ); 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)\"\" \"About 
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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
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\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
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\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
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\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
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\n" ); document.write( "m.ananth@hotmail.ca
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