document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=160584>Question 160584</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5.  Fill in the chart given this linear equation:<BR>\n" );
document.write( "x + 7y = 4.<BR>\n" );
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document.write( "x	   |     y<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #118396 by </B><A HREF=/tutors/aboutme.mpl?userid=KnightOwlTutor><B>KnightOwlTutor(293)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KnightOwlTutor><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=KnightOwlTutor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=118396\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x + 7y = 4.<BR>\n" );
document.write( "Type all your work below the chart.<BR>\n" );
document.write( "x	   |     y<BR>\n" );
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document.write( "-2         |   6/7<BR>\n" );
document.write( "___________|_____________	y=4-x/7 Rearrange the equation to isolate y<BR>\n" );
document.write( "-1	   | 5/7<BR>\n" );
document.write( "___________|_____________       You also need to remember how to deal with <BR>\n" );
document.write( "                                  signed numbers Multiplying a neg and net =+<BR>\n" );
document.write( "0	   | 4/7<BR>\n" );
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document.write( "1	   | 3/7<BR>\n" );
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document.write( "2	   | 2/7<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=describe_linear_equation.solver>DESCRIBE a linear EQUATION: slope, intercepts, etc</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+x+%2B+7+y+=+4 ALIGN=MIDDLE  ALT=\"1+x+%2B+7+y+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > describes a sloping line. For any <BR>\n" );
document.write( "  equation ax+by+c = 0, slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-a%2Fb+=+-1%2F7 ALIGN=MIDDLE  ALT=\"-a%2Fb+=+-1%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<UL><LI>X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x =  c/a. 4/1 = 4.</LI><LI>Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 4/7 = 0.571428571428571.</LI><LI>Slope is -1/7 = -0.142857142857143.</LI><LI> Equation in slope-intercept form: y=-0.142857142857143*x+0.571428571428571.</LI></UL><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+4-8%2C+4%2B8%2C+0.571428571428571-8%2C+0.571428571428571%2B8%2C+-0.142857142857143%2Ax%2B0.571428571428571+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\n" );
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