document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=247823>Question 247823</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help with the following equation:<BR>\n" );
document.write( "Write an equation of the line containing the specified point and parallel to the indicated line (3,-4), 5x-6y=4  I think I need to plug the points 3 and -4 in for x and y and solve but I am confused how to remove them both from the same side of the equation.  Thank you for any help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180680 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=180680\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> plug them in and you get<BR>\n" );
document.write( "5(x)-6(y)=4<BR>\n" );
document.write( "x=3 <BR>\n" );
document.write( "y=-4<BR>\n" );
document.write( "5(3)-6(-4)=4<BR>\n" );
document.write( "15+24=4<BR>\n" );
document.write( "39=4<BR>\n" );
document.write( "but 39 doesn't equal 4<BR>\n" );
document.write( "That tells use that the point is not on that line.<BR>\n" );
document.write( "But the problem already told us that.<BR>\n" );
document.write( "The equation  5x-6y=4 is another line.<BR>\n" );
document.write( "We want one that is parallel to that line.<BR>\n" );
document.write( "and goes through the point(3,-4) where x=3 and y=-4\r<BR>\n" );
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document.write( "solve for y<BR>\n" );
document.write( "5x-6y=4<BR>\n" );
document.write( "5x=6y+4<BR>\n" );
document.write( "subtract 4 from both sides<BR>\n" );
document.write( "5x-4=y<BR>\n" );
document.write( "y=5x-4<BR>\n" );
document.write( "y=mx+b<BR>\n" );
document.write( "m is the slope and b is the y intercept<BR>\n" );
document.write( "which means that if x=0 then y is b<BR>\n" );
document.write( "so 5 is the slope and  it goes through (0,-4)<BR>\n" );
document.write( "so we want a line of the same slope but goes through (3,-4)<BR>\n" );
document.write( "we see that x is three more than (0,-4)<BR>\n" );
document.write( "y=mx+b<BR>\n" );
document.write( "we know x,y and m<BR>\n" );
document.write( "-4=5(3)+b<BR>\n" );
document.write( "-4=15+b<BR>\n" );
document.write( "subtract 15 from both sides<BR>\n" );
document.write( "-19=b<BR>\n" );
document.write( "so now we can make the new equation<BR>\n" );
document.write( "y=mx+b where m=5 and b=-19<BR>\n" );
document.write( "y=5x-19 is a line parallel to the given line and goes through (3,-4)<BR>\n" );
document.write( "and has the y intercept (0,-19)\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );