document.write( "Question 1174624: Find the equation of the line that is parallel to the given line and passes through (5, -1) y = 2x−7 \n" ); document.write( "
Algebra.Com's Answer #800050 by mccravyedwin(407)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Equations of parallel lines need differ only by their constant term(s).\r\n" ); document.write( "\r\n" ); document.write( "y = 2x-7 has only the constant term -7. Substitute any letter for the constant\r\n" ); document.write( "term, say b.\r\n" ); document.write( "\r\n" ); document.write( "y = 2x+b\r\n" ); document.write( "\r\n" ); document.write( "Now all we need do is substitute the point (5,-1) in it\r\n" ); document.write( "\r\n" ); document.write( " -1 = 2(5)+b\r\n" ); document.write( " -1 = 10+b\r\n" ); document.write( "-11 = b\r\n" ); document.write( "\r\n" ); document.write( "Substitute 11 for b in\r\n" ); document.write( "\r\n" ); document.write( "y = 2x+b and get\r\n" ); document.write( "\r\n" ); document.write( "y = 2x-11 <--answer\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |