document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1039567>Question 1039567</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if a line cuts the positive x-axis and the positive y-axis it has a negative gradient\r<BR>\n" );
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document.write( "true or false or sometimes true \r<BR>\n" );
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document.write( "i have no idea this is the last one on my homework sheet, all help is appreciated! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #654332 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=654332\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"if a line cuts the positive x-axis\" means the x intercept must have a positive x coordinate, eg: (5,0)\r<BR>\n" );
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document.write( "\"if a line cuts...the positive y-axis\" then we know the y intercept has a positive y coordinate, eg: (0,8)\r<BR>\n" );
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document.write( "Let's find the slope of the line through those two example points\r<BR>\n" );
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document.write( "m = (y2 - y1)/(x2 - x1)\r<BR>\n" );
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document.write( "m = (8 - 0)/(0 - 5)\r<BR>\n" );
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document.write( "m = 8/(-5)\r<BR>\n" );
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document.write( "m = -1.6\r<BR>\n" );
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document.write( "Which is a negative slope or gradient (slope and gradient mean the same thing).\r<BR>\n" );
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document.write( "It turns out that the slope will always be negative in this case. As long as the x intercept is on the positive x axis and the y intercept is on the positive y axis, then the slope will always be negative.\r<BR>\n" );
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document.write( "So the final answer is True. \r<BR>\n" );
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document.write( "Side Note: I recommend you trying out other possible x and y intercepts. Compute the slope and hopefully you'll find that the slopes will always be negative. </SPAN>\n" );
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