document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=197067>Question 197067</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780495553458/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Graph the following equation? calculate the slope, x-intercept, y-intercept and label the intercepts on the graph. y = x + 3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #147737 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=147737\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Step 1:  Pick a value, any value, for <b><i>x</i></b> and substitute this value for <b><i>x</i></b> in your equation.\r<BR>\n" );
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document.write( "Step 2:  Calculate the value of <b><i>y</i></b> for the selected value of <b><i>x</i></b>.\r<BR>\n" );
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document.write( "Step 3:  Create an ordered pair (<b><i>x</i></b>,<b><i>y</i></b>) using the selected and calculated values from steps 1 and 2.\r<BR>\n" );
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document.write( "Step 4:  Plot the point represented by your ordered pair on your graph.\r<BR>\n" );
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document.write( "Step 5:  Repeat steps 1 through 4 using a different value for <b><i>x</i></b>.\r<BR>\n" );
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document.write( "Step 6:  Draw a straight line all the way across your graph through the two plotted points.\r<BR>\n" );
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document.write( "Your equation is already in slope-intercept form, namely:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y = mx + b\">\r<BR>\n" );
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document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE m\"> is the slope and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE b\"> is the y-coordinate of the x-intercept.\r<BR>\n" );
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document.write( "The slope is the value of the coefficient on <b><i>x</i></b>.  In this case, since there is no specific coefficient shown, the coefficient is understood to be 1.\r<BR>\n" );
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document.write( "The x-intercept is the point (0,<b><i>b</i></b>)\r<BR>\n" );
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document.write( "The y-intercept is the point (<b><i>a</i></b>,0) where <b><i>a</i></b> is the value of <b><i>x</i></b> that makes <b><i>y</i> = 0</b>, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 0 = ma + b \ \ \Rightarrow\ \ -ma = b \ \ \Rightarrow\ \ a = -\frac{b}{m}\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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