document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=81949>Question 81949</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the x- and y-intercepts for the equation.<BR>\n" );
document.write( "53) -6x - 12y = 12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #58717 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=58717\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
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document.write( "-6x - 12y = 12<BR>\n" );
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document.write( "Note that any point on the y-axis has zero as its corresponding x value.  Therefore, in<BR>\n" );
document.write( "the given equation if you set x equal to zero you can solve the remaining equation for the<BR>\n" );
document.write( "corresponding value of y. Setting x equal to zero results in the equation becoming:<BR>\n" );
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document.write( "-6(0) - 12y = 12<BR>\n" );
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document.write( "which simplifies to:<BR>\n" );
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document.write( "-12y = 12<BR>\n" );
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document.write( "Dividing both sides by -12 (the multiplier of the y term) results in:<BR>\n" );
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document.write( "y = 12/(-12) = -1<BR>\n" );
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document.write( "So the y-intercept for the given equation occurs at the point (0, -1) which is the same<BR>\n" );
document.write( "as -1 on the y-axis.<BR>\n" );
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document.write( "Similarly, any point on the x-axis has zero for its y value. So to find the x intercept,<BR>\n" );
document.write( "set the value of y equal to zero in the given equation and solve what's left for x. With y<BR>\n" );
document.write( "equal to zero, the given equation becomes:<BR>\n" );
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document.write( "-6x - 12(0) = 12<BR>\n" );
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document.write( "and this simplifies to:<BR>\n" );
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document.write( "-6x = 12<BR>\n" );
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document.write( "Solve for x by dividing both sides by -6, the multiplier of x.  When you do the division,<BR>\n" );
document.write( "the equation becomes:<BR>\n" );
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document.write( "x = 12/(-6) = -2<BR>\n" );
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document.write( "So the x intercept is at the point (-2, 0) which is the same as at the point -2 on the<BR>\n" );
document.write( "x-axis.<BR>\n" );
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document.write( "Hope this explanation clarifies the problem for you.<BR>\n" );
document.write( " </SPAN>\n" );
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