document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=16528>Question 16528</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can anyone help me solve this?\r<BR>\n" );
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document.write( "If the line Kx - 2y = 6 has the same x and y-intercept, what is the value of  K?\r<BR>\n" );
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document.write( "I'm not sure what to do with this.<BR>\n" );
document.write( "I substituted zero for x and got<BR>\n" );
document.write( "-2y = 6<BR>\n" );
document.write( "y = -3\r<BR>\n" );
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document.write( "which would mean a set of points (0,-3) but how would that be the same<BR>\n" );
document.write( "intercept for both x and y.<BR>\n" );
document.write( "Any help would be very appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #8064 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=8064\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Perhaps a little common sense is required for this problem.\r<BR>\n" );
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document.write( "If a line has the same x- and y-intercept, then the line has a negative slope and the slope must be -1.\r<BR>\n" );
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document.write( "How can we say this?  If the line had a positive slope the x-intercept would have the opposite sign of the y-intercept, unless, of course, it crossed at the origin.\r<BR>\n" );
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document.write( "Now if the x- and y-intercepts are the same value (both positive or both negative), then the line must have a negative slope and, since slope is defined as rise over run, the rise and the run are equal (in absolute value), ergo, the slope is -1.<BR>\n" );
document.write( "But how does this find the value of K?\r<BR>\n" );
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document.write( "Well, let;s put your equation into the slope-intercept form.\r<BR>\n" );
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document.write( "Kx - 2y = 6  Add 2y to both sides.<BR>\n" );
document.write( "Kx = 2y + 6  Subtract 6 from both sides.<BR>\n" );
document.write( "Kx - 6 = 2y Divide both sides by 2.<BR>\n" );
document.write( "y = (K/2)x - 6 The slope, m = K/2 = -1, So K = -2\r<BR>\n" );
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document.write( "The given line is:<BR>\n" );
document.write( " y = (-1)x - 6<BR>\n" );
document.write( "The x-intercept is: 0 = -x - 6, so x = -6<BR>\n" );
document.write( "The y-intercept is: y = 0 - 6,  so y = -6 </SPAN>\n" );
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