document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=471413>Question 471413</A>: <I><SPAN STYLE=\"word-break: break-all;\">  The following is what I am looking for in describing a line.  This is what is needed to describe a linear graph after graphing.  This describes the graph without having the graph available.\r<BR>\n" );
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document.write( "The items needed:  x intercept, y intercept, slope, slant, and the quadrants the line passes through when graphed..\r<BR>\n" );
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document.write( "Example:  Graph 5x + 2y = 10.  (Actually graph this and work through the steps as we go.  Ask questions as needed.)\r<BR>\n" );
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document.write( "1.  x intercept:  Let y = 0, substitute in place of y and then solve for x:  5x = 10, x = 2.\r<BR>\n" );
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document.write( "2.  y intercept:  Let x = 0, substitute in place of x and then solve for y:  2y = 10, y = 5.\r<BR>\n" );
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document.write( "3.  slope:  Put into slope intercept form:  Solve for y.  Add -5x to each side to get 2y = -5x + 10.  Now divide by 2 to solve for 1y:  y = (-5x + 10) / 2 but each term can be put over 2 so we have y = (-5/2)x + 10/2 = (-5/2)x = 5 has form y = mx + b whre m = -5/2 for the slope.  Note that we can also check our y intercept here since b should also be the y intercept.  Glancing back, we found that we did get 5 above for the y intercept.  This is just an additional safeguard.\r<BR>\n" );
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document.write( "4.  Slant:  If the slope is positive we slant to the right /, if the slope is 0 we are horizontal __, If the slope is undefined we are vertical |, but we have a slope that is negative and it will slant to the left.    \.\r<BR>\n" );
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document.write( "5.  Quadrants passing through:  This line will pass through Q1, Q2, and QIV and will not enter QIII.\r<BR>\n" );
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document.write( "Note:  Just describe the graphs.  Give the five characteristics that I outlined above for each line graphed.\r<BR>\n" );
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document.write( "Your turn.   Describe the graph of the linear equation:  3y – 2y = 18.   Do so by first graphing it for yourself.  Then list the five characteristics above in describing your graph and post in this thread. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #323325 by </B><A HREF=/tutors/aboutme.mpl?userid=Tatiana_Stebko><B>Tatiana_Stebko(1539)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Tatiana_Stebko><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=Tatiana_Stebko><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=323325\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+-2y+=+18 ALIGN=MIDDLE  ALT=\"3x+-2y+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1.  x-intercept:  Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+0 ALIGN=MIDDLE  ALT=\"y+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, substitute in place of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > and then solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+=+18 ALIGN=MIDDLE  ALT=\"3x+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+18%2F3 ALIGN=MIDDLE  ALT=\"x+=+18%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6 ALIGN=MIDDLE  ALT=\"x=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "2.  y-intercept:  Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+0 ALIGN=MIDDLE  ALT=\"x+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, substitute in place of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and then solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2y+=+18 ALIGN=MIDDLE  ALT=\"-2y+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+18%2F-2 ALIGN=MIDDLE  ALT=\"y+=+18%2F-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-9 ALIGN=MIDDLE  ALT=\"y=-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "3.  slope:  Put into slope intercept form:  Solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x ALIGN=MIDDLE  ALT=\"-3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to each side to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2y+=+-3x+%2B+18 ALIGN=MIDDLE  ALT=\"-2y+=+-3x+%2B+18\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Now divide by (-2) to solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-3x+%2B+18%29+%2F+-2 ALIGN=MIDDLE  ALT=\"y+=+%28-3x+%2B+18%29+%2F+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > but each term can be put over (-2) so we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%283%2F2%29x+-+18%2F2+=+%283%2F2%29x+-9 ALIGN=MIDDLE  ALT=\"y+=+%283%2F2%29x+-+18%2F2+=+%283%2F2%29x+-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > has form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+mx+%2B+b ALIGN=MIDDLE  ALT=\"y+=+mx+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > whre <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+3%2F2 ALIGN=MIDDLE  ALT=\"m+=+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > for the slope.  <BR>\n" );
document.write( "4.  Slant:  If the slope is negative  we slant to the left \, if the slope is 0 we are horizontal __, If the slope is undefined we are vertical |, but we have a slope that is positive  and it will SLANT TO THE RIGHT /.<BR>\n" );
document.write( "5.  Quadrants passing through:  This line will pass through Q1, QIII, and QIV and will not enter Q2.\r<BR>\n" );
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