document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=675289>Question 675289</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the line that is parallel to y=6x-12 and passes through (-4,1) .  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #419703 by </B><A HREF=/tutors/aboutme.mpl?userid=khurshidi><B>khurshidi(7)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=khurshidi><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=khurshidi><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=419703\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the line that is parallel to y=6x-12 and passes through (-4,1)?\r<BR>\n" );
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document.write( "Solution:<BR>\n" );
document.write( "Given line<BR>\n" );
document.write( "y = 6x -12<BR>\n" );
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document.write( "6x - y -12 = 0<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "Slope of the given line<BR>\n" );
document.write( "m1 = - coefficient of x/coefficient of y\r<BR>\n" );
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document.write( "coefficient of x = 6, coefficient of y = -1<BR>\n" );
document.write( "so\r<BR>\n" );
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document.write( "m1 = 6\r<BR>\n" );
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document.write( "since the required line is parallel to the given line\r<BR>\n" );
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document.write( "therefore\r<BR>\n" );
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document.write( "m1 = m2     (m2 = the slope of required line)\r<BR>\n" );
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document.write( "i.e. m2 = 6\r<BR>\n" );
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document.write( "since the line passes through (-4, 1)= ( x1, y1)\r<BR>\n" );
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document.write( "therefore\r<BR>\n" );
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document.write( "y - y1 = m2(x - x1)\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "y - 1 = 6(x + 4)\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "y - 1 = 6x + 24\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "6x - y + 25 = 0<BR>\n" );
document.write( "This is the required equation parallel to the given equation and passes through (-4, 1). </SPAN>\n" );
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