document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=710379>Question 710379</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the y-intercept of y = 7/x + 2.<BR>\n" );
document.write( "What is the x-intercept? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #437080 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=437080\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First of all, please put multiple-term numerators and denominators in parentheses. What you posted meant:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+7%2Fx+%2B+2 ALIGN=MIDDLE  ALT=\"y+=+7%2Fx+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "But I don't this this is correct because this equation has no y-intercept. I'm going to work on the assumption that the equation is supposed to be:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+7%2F%28x+%2B+2%29 ALIGN=MIDDLE  ALT=\"y+=+7%2F%28x+%2B+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which should be posted as: y = 7/(x + 2)<BR>\n" );
document.write( "(If you're not sure what \"multiple-term numerators and denominators\" are, just put parentheses around <i>all</i> numerators and denominators.)<br><BR>\n" );
document.write( "Y-intercepts are where a graph intersects the y-axis. <i>All</i> points on the y-axis have x coordinates of 0. So to find y-intercepts you make the x's in the equation zero and then solve for y:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+7%2F%28%280%29+%2B+2%29 ALIGN=MIDDLE  ALT=\"y+=+7%2F%28%280%29+%2B+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplifying we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+7%2F2 ALIGN=MIDDLE  ALT=\"y+=+7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the y-intercept is: (0, 7/2)<br><BR>\n" );
document.write( "X-intercepts are where a graph intersects the x-axis. <i>All</i> points on the x-axis have y coordinates of 0. So to find x-intercepts you make the y's in the equation zero and then solve for x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+7%2F%28x+%2B+2%29 ALIGN=MIDDLE  ALT=\"0+=+7%2F%28x+%2B+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You might already see a problem. If not, go ahead and solve for x. Multiplying each side by x+2 will eliminate the fraction:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+7 ALIGN=MIDDLE  ALT=\"0+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we can see a problem. There are no x's left in the equation and we have an equation that is not true. This means that it is impossible for the y coordinate to be zero. This means that there is no x-intercept for the graph. This means that the graph never crosses (or touches) the x-axis. This means that the graph is entirely above or entirely below the x-axis. Since the y-intercept, (0, 7/2), is above the x-axis the graph is entirely above the x-axis.<br><BR>\n" );
document.write( "P.S. If your equation really was:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+7%2Fx+%2B+2 ALIGN=MIDDLE  ALT=\"y+=+7%2Fx+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "then you should now know how to find the intercepts. </SPAN>\n" );
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