document.write( "Question 846118: Write an equation for the line that is parallel to the given line and that passes through the given point.\r
\n" ); document.write( "\n" ); document.write( "y=(3/4)x-9; (-8, -18)\r
\n" ); document.write( "\n" ); document.write( "A well detailed explanation would be highly appreciated so I can attempt problems like this with an understanding.
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Algebra.Com's Answer #509618 by lwsshak3(11628)\"\" \"About 
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Write an equation for the line that is parallel to the given line and that passes through the given point.
\n" ); document.write( "y=(3/4)x-9; (-8, -18)
\n" ); document.write( "***
\n" ); document.write( "Standard form of an equation for a line: y=mx+b, m=slope, b=y-intercept (this is called the slope-intercept form)
\n" ); document.write( "For given equation:
\n" ); document.write( "y=(3/4)x-9
\n" ); document.write( "slope,m=3/4
\n" ); document.write( "..
\n" ); document.write( "For equation that passes through the given point(-8,-18)
\n" ); document.write( "slope,m=3/4 (lines parallel to each other have the same slope)
\n" ); document.write( "..
\n" ); document.write( "solve for b using given points(-8,-18)
\n" ); document.write( "y=mx+b
\n" ); document.write( "y=3x/4+b
\n" ); document.write( "sub given points:
\n" ); document.write( "-18=3*(-8)/4+b
\n" ); document.write( "-18=-24/4+b
\n" ); document.write( "-18=-6+b
\n" ); document.write( "b=-12
\n" ); document.write( "equation:y=(3/4)x-12
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