document.write( "Question 593457: Write the equation of a line that passes through (4,1) and is parallel to 5x+y=2 \n" ); document.write( "

Algebra.Com's Answer #376327 by mananth(16946) $\"\"$ $\"About$

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5 x + 1 y = 2
\n" ); document.write( "Find the slope of this line
\n" ); document.write( "make y the subject
\n" ); document.write( "1 y = -5 x + 2
\n" ); document.write( "Divide by 1
\n" ); document.write( " y = -5 x + 2
\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(4,1)
\n" ); document.write( "Find b by plugging the values of m & the point in
\n" ); document.write( "y=mx+b
\n" ); document.write( "1=-20 +b
\n" ); document.write( "b= 21
\n" ); document.write( "m= -5
\n" ); document.write( "Plug value of the slope and b in y = mx +b
\n" ); document.write( "The required equation is y=-5 x +21
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\n" ); document.write( "m.ananth@hotmail.ca
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