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
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document.write( "y=(3/4)x-9; (-8, -18)\r
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document.write( "A well detailed explanation would be highly appreciated so I can attempt problems like this with an understanding. \n" );
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Algebra.Com's Answer #509618 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " |