document.write( "Question 526442: write an equation of the line containing the given pointand parallel to the given line. express your answer in the form y=mx+b
\n" ); document.write( "(8,9); x+2y=9 \n" ); document.write( "
Algebra.Com's Answer #348519 by Maths68(1474)\"\" \"About 
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Standard Form of Equation of the line:
\n" ); document.write( "y=mx+b
\n" ); document.write( "Given
\n" ); document.write( "x+2y=9
\n" ); document.write( "rearrage the above equation according to the standard form
\n" ); document.write( "2y=-x+9
\n" ); document.write( "2y/2=(-x+9)/2
\n" ); document.write( "y=-x/2+9/2
\n" ); document.write( "Compare above equation with the standard form equation
\n" ); document.write( "m=-1/2 and b=9/2
\n" ); document.write( "Since lines are parallel their slopes will be same.
\n" ); document.write( "So slope of the required line will be (-1/2)
\n" ); document.write( "Now we have a point(8,9) and slope (-1/2)of the line we can easily find
\n" ); document.write( "required lines by putting these values in the equation of the straight line
\n" ); document.write( "poin-slope form.
\n" ); document.write( "m=(y2-y1)/(x2-x1)
\n" ); document.write( "-1/2=(y-8)/(x-9)
\n" ); document.write( "-1/2 (x-9)=y-8
\n" ); document.write( "-(x-9)/2+8=y
\n" ); document.write( "y=-(x-9)/2+8
\n" ); document.write( "y=(-x+9+16)/2
\n" ); document.write( "y=(-x+25)/2
\n" ); document.write( "y=(-1/2)(x)+25/2 (The standard form of the required equation of the straight line)\r
\n" ); document.write( "\n" ); document.write( "Graph
\n" ); document.write( "Given line = Red
\n" ); document.write( "Required line = Green\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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