document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=375832>Question 375832</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help. <BR>\n" );
document.write( "Write an eqution of the line containing the given point and parallel to the given line. Express your answer in y = mx+b.\r<BR>\n" );
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document.write( "(2,4); x +6y=5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #267291 by </B><A HREF=/tutors/aboutme.mpl?userid=jessica43><B>jessica43(140)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jessica43><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=267291\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For two lines to be parallel, they must have the same slopes.  So first we need to rewrite the given line in the formula of y = mx + b:<BR>\n" );
document.write( "x + 6y = 5<BR>\n" );
document.write( "6y = 5 - x<BR>\n" );
document.write( "y = 5/6 - (1/6)x<BR>\n" );
document.write( "Now that it is written in the correct formula, we can see that m = -1/6, which is the slope of this line. So our line must have this same slope.<BR>\n" );
document.write( "Now we need to plug in what we know (the slope and the point (2,4)) into the y = mx + b formula:<BR>\n" );
document.write( "y = mx + b<BR>\n" );
document.write( "4 = (-1/6)(2) + b<BR>\n" );
document.write( "Now solve for b:<BR>\n" );
document.write( "4 = (-1/6)(2) + b<BR>\n" );
document.write( "4 = (-2/6) + b<BR>\n" );
document.write( "26/6 = b<BR>\n" );
document.write( "So your equation of the line is y = (-1/6)x + 26/6 </SPAN>\n" );
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