document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1125746>Question 1125746</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the equation for line m is y = 1/2x -5. use this information and these descriptions to write an equation for line n, line p, and line r. <BR>\n" );
document.write( "I am totally lost on this.<BR>\n" );
document.write( "Line m and line n have no solutions. write an equation that can represent line n.<BR>\n" );
document.write( "Line m and line p have infinitely many solutions. Write an equation that can represent line p.<BR>\n" );
document.write( "Line m and line r have one solution. Write an equation that can represent line r.<BR>\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #742042 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=742042\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ----<BR>\n" );
document.write( "the equation for line m is y = 1/2x -5. use this information and these descriptions to write an equation for line n, line p, and line r. <BR>\n" );
document.write( "I am totally lost on this.<BR>\n" );
document.write( "Line m and line n have no solutions. write an equation that can represent line n.<BR>\n" );
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document.write( "You would want slopes of line m and line n to be the same; then, no solution.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=%281%2F2%29x-5%2Cy=%281%2F2%29x-v%2Cv%3C%3E5%29 ALIGN=MIDDLE  ALT=\"system%28y=%281%2F2%29x-5%2Cy=%281%2F2%29x-v%2Cv%3C%3E5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Line m and line p have infinitely many solutions. Write an equation that can represent line p.<BR>\n" );
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document.write( "Line m and line p would be the same line, and their equations would be equivalent.  <BR>\n" );
document.write( "Let k be a real number, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%3C%3E0 ALIGN=MIDDLE  ALT=\"k%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  With this, for example, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=%281%2F2%29x-5%2Cand%2Ck%2Ay=kx%2F2-5k%29 ALIGN=MIDDLE  ALT=\"system%28y=%281%2F2%29x-5%2Cand%2Ck%2Ay=kx%2F2-5k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "will have infinitely many solutions.\r<BR>\n" );
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document.write( "The last one should now be obvious.\r<BR>\n" );
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document.write( "Line m and line r have one solution. Write an equation that can represent line r.<BR>\n" );
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document.write( "You must now understand equations for two lines which do not intersect (if both in the same plane); and now must understand equations for two lines which have infinitely many points in common, being two equivalent equations, so that they are the same line.\r<BR>\n" );
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document.write( "Now you want some equation to intersect y=(1/2)x-5, in exactly one single point.  .... In the same plane.\r<BR>\n" );
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document.write( "What does that mean?  It means the two lines must NOT be parallel.  <BR>\n" );
document.write( "So, the other equation must NOT be equivalent to your given y=(1/2)x-5, and the slope must not be same as  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.   Infinitely many possible equations.   YOU can figure out this! </SPAN>\n" );
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