document.write( "Question 516064: write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b (8,9); x+2y=7 \n" ); document.write( "

Algebra.Com's Answer #344229 by mananth(16946) $\"\"$ $\"About$

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1 x + 2 y = 7
\n" ); document.write( "Find the slope of this line
\n" ); document.write( "make y the subject
\n" ); document.write( "2 y = -1 x + 7
\n" ); document.write( "Divide by 2
\n" ); document.write( " y = -0.5 x + 3.5
\n" ); document.write( "Compare this equation with y=mx+b
\n" ); document.write( "slope m = -0.5 -0.5
\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 -0.5
\n" ); document.write( "m= -0.5 ,point ( 8 , 9 )
\n" ); document.write( "Find b by plugging the values of m & the point in
\n" ); document.write( "y=mx+b
\n" ); document.write( "9 = -4.00 + b
\n" ); document.write( "b= 13
\n" ); document.write( "m= -0.5
\n" ); document.write( "Plug value of the slope and b in y = mx +b
\n" ); document.write( "The required equation isy = -0.5 x + 13
\n" ); document.write( " y = - 1/ 2 x + 13
\n" ); document.write( "m.ananth@hotmail.ca
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