document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1018655>Question 1018655</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 6.   Tayler claims that when a linear equation is written in general form, Ax + By + C = 0, the intercept of the corresponding graph is always . <BR>\n" );
document.write( "/1		a.   Show that Tayler’s claim is true for the equation 3x + 5y + 45 = 0.<BR>\n" );
document.write( "				Answer:<BR>\n" );
document.write( "/1		b.   Explain why  represents the x-intercept. (Hint: What y-value can be substituted into <BR>\n" );
document.write( "Ax + By + C = 0 to determine the x-intercept?)\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "/1	c.   Tayler’s claim is not true for horizontal lines. Explain why.\r<BR>\n" );
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document.write( "		Answer:\r<BR>\n" );
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document.write( "/1	d.   Suggest a similar rule for the y-intercept. Check the rule using 3x + 5y + 45 = 0.\r<BR>\n" );
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document.write( "		Answer:\r<BR>\n" );
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document.write( "/1	e.   Will the rule always work? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #634758 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=634758\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ...always what?\r<BR>\n" );
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document.write( "Try taking the most generalized form you have, and find the x and y intercepts.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ax%2BBy%2BC=0 ALIGN=MIDDLE  ALT=\"Ax%2BBy%2BC=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ax=-By-C ALIGN=MIDDLE  ALT=\"Ax=-By-C\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "let y=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ax=B%2A0-C ALIGN=MIDDLE  ALT=\"Ax=B%2A0-C\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-C%2FA ALIGN=MIDDLE  ALT=\"x=-C%2FA\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=By=-Ax-C ALIGN=MIDDLE  ALT=\"By=-Ax-C\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-Ax%2FB%29-C%2FB ALIGN=MIDDLE  ALT=\"y=%28-Ax%2FB%29-C%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "let x=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-C%2FB ALIGN=MIDDLE  ALT=\"y=-C%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The x intercept will be  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-C%2FA ALIGN=MIDDLE  ALT=\"-C%2FA\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and <BR>\n" );
document.write( "the y intercept will be  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-C%2FA ALIGN=MIDDLE  ALT=\"-C%2FA\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Watch the signs carefully when you apply this.\r<BR>\n" );
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document.write( "What if Horizontal Line?<BR>\n" );
document.write( "Slope is 0.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=b ALIGN=MIDDLE  ALT=\"y=b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-b=0 ALIGN=MIDDLE  ALT=\"y-b=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ax%2B1%2Ay-b=0 ALIGN=MIDDLE  ALT=\"Ax%2B1%2Ay-b=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >    (Do not confuse the differently cased variables)<BR>\n" );
document.write( "but the slope being 0 requires that A=0, and finding y-intercept would give -<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2FA=-%28-b%29%2F0 ALIGN=MIDDLE  ALT=\"C%2FA=-%28-b%29%2F0\"   DISABLED_style= \"max-width:90%; height:auto;\" > BUT DIVISION BY ZERO IS IMPOSSIBLE, so this method of finding the x-intercept will not give any result; in any case, as long as the horizontal line is any value other than 0, non-intersecting the x-axis is already known. </SPAN>\n" );
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