document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=137402>Question 137402</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072538953/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help!<BR>\n" );
document.write( "When looking at two linear equations how can you tell lines are corresponding without putting in slope-intercept form?\r<BR>\n" );
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document.write( "If possible could you include example?<BR>\n" );
document.write( "Thank you very much for giving your time. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100534 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=100534\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am not sure what you mean by corresponding. If you mean, how can you tell if two lines are really the same line, then one equation will be a simple multiple of the other one.\r<BR>\n" );
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document.write( "5x + 3y = 10    two equations are multiples, so they produce the same graph<BR>\n" );
document.write( "15x + 9y = 30\r<BR>\n" );
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document.write( "If you asking how to tell if two lines are parallel without finding the slope, then you would need to look at the ratio of both equations x and y coefficients. I suppose that is less work than converting to slope-intercept. But unless speed is the requirement, it seems like more effort than it is probably worth.\r<BR>\n" );
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document.write( "5x + 3y = 10    ratio is 3/5<BR>\n" );
document.write( "15x + 9y = 10   ratio is 9/15 = 3/5. different graph, but parallel\r<BR>\n" );
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document.write( "hope that helps some </SPAN>\n" );
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