document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174012>Question 174012</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a question on writing equations of parallel lines<BR>\n" );
document.write( "I understand that in order for an equation to be parallel with another, they must have the same slope.<BR>\n" );
document.write( "here is the problem\r<BR>\n" );
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document.write( "Write an equation of a line that passes through the point given and is parallel to the given line:   (4,7), y= 5x-3<BR>\n" );
document.write( "I do not know what to do. please explain the steps for further use. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #128934 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=128934\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The equation (of the line you want to be parallel with) was given as:<BR>\n" );
document.write( "y= 5x-3<BR>\n" );
document.write( "This is in the \"slope-intercept\" form:<BR>\n" );
document.write( "y = mx + b<BR>\n" );
document.write( "where<BR>\n" );
document.write( "m is slope<BR>\n" );
document.write( "b is the y-intercept<BR>\n" );
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document.write( "From the above, we now know the slope of:<BR>\n" );
document.write( "y= 5x-3<BR>\n" );
document.write( "is<BR>\n" );
document.write( "m = 5<BR>\n" );
document.write( ".<BR>\n" );
document.write( "For two lines to be parallel, both of their slopes must be the same. Therefore, our \"new\" line mus have the slope of 5.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Given that we know the slope (5) and a single point (4,7) we stuff that into the \"point slope\" equation:<BR>\n" );
document.write( "y - y1 = m(x - x1)<BR>\n" );
document.write( "y - 7 = 5(x - 4)<BR>\n" );
document.write( "Now, we manipulate to back into the \"slope intercept\" form:<BR>\n" );
document.write( "y - 7 = 5x - 20<BR>\n" );
document.write( "y = 5x - 13 (this is what they're looking for)  </SPAN>\n" );
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