document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174865>Question 174865</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I got a question I hardly understand let alone solve.<BR>\n" );
document.write( "What value of m gives a system <BR>\n" );
document.write( "y=1^2 x-2<BR>\n" );
document.write( "y=mx-1  with<BR>\n" );
document.write( "a) one solution<BR>\n" );
document.write( "b) an infinitely many solutions<BR>\n" );
document.write( "c) no solution </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129963 by </B><A HREF=/tutors/aboutme.mpl?userid=HyperBrain><B>HyperBrain(694)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=HyperBrain><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=129963\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I got a question I hardly understand let alone solve.<BR>\n" );
document.write( "What value of m gives a system<BR>\n" );
document.write( "y=1^2 x-2<BR>\n" );
document.write( "y=mx-1 with<BR>\n" );
document.write( "a) one solution<BR>\n" );
document.write( "b) an infinitely many solutions<BR>\n" );
document.write( "c) no solution\r<BR>\n" );
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document.write( "There are three possibilities when solving linear equations (that one you gave is linear): one solution, infinitely many, or no solution\r<BR>\n" );
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document.write( "One solution  exists when the graph is <b>intersecting</b> lines.<BR>\n" );
document.write( "No solution exists when the graph is <b>parallel</b> lines.<BR>\n" );
document.write( "Infinite solutions exists when the graph is </b>coincident</b> lines.\r<BR>\n" );
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document.write( "Let's go back.\r<BR>\n" );
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document.write( "y=1^2 x-2   >>>I'm confused. I'll assume it's <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F2%29x-2 ALIGN=MIDDLE  ALT=\"y=%281%2F2%29x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since the equation is in the slope intercept form (y=mx+b), the slope of this line is 1/2.\r<BR>\n" );
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document.write( "For the line to intersect but not coincide, the slope of the second line must not be 1/2.\r<BR>\n" );
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document.write( "Therefore, the equations have one solution when, m is not equal to 1/2.Ans.\r<BR>\n" );
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document.write( "b) Two lines are coincident when they have <b>the same slope and y-intercepts</b>. The y-intercepts of you given lines are -2 and -1, which can never be equal.<BR>\n" );
document.write( "Therefore, no value of m would make the system have infinite solutions.\r<BR>\n" );
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document.write( "c) Two equations have no solutions when their graphs are parallel, i.e, same slope but diff. y-intercepts.<BR>\n" );
document.write( "Since their intercepts are -2 and -1. This system is possible.<BR>\n" );
document.write( "Also, the lines must have the same slope.<BR>\n" );
document.write( "Therefore, m=1/2 will make the system have no solution.\r<BR>\n" );
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document.write( "Power up,<BR>\n" );
document.write( "HyperBrain! </SPAN>\n" );
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