document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150728>Question 150728</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to form the following equations and plot the graph of these equations\r<BR>\n" );
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document.write( "linear equation with one variable\r<BR>\n" );
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document.write( "Linear equation wit two variables. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111435 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><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=111435\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your variables will be x and y, since x and y are the variables in the coordinate plane.  The equation for a line is y=mx+b, so just plug in values for m and b, and you will have the equation of a line with two variables.  For the equation of a line with one variable, simply use x or y and assign a value.  For example:\r<BR>\n" );
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document.write( "y=mx+b<BR>\n" );
document.write( "Plug in any old thing for m and b:<BR>\n" );
document.write( "y=3x+5\r<BR>\n" );
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document.write( "Now plot it:<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=-3+x+%2B+1+y+=+5 ALIGN=MIDDLE  ALT=\"-3+x+%2B+1+y+=+5\"   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+=+--3%2F1 ALIGN=MIDDLE  ALT=\"-a%2Fb+=+--3%2F1\"   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. 5/-3 = -1.66666666666667.</LI><LI>Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 5/1 = 5.</LI><LI>Slope is --3/1 = 3.</LI><LI> Equation in slope-intercept form: y=3*x+5.</LI></UL><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+-1.66666666666667-8%2C+-1.66666666666667%2B8%2C+5-8%2C+5%2B8%2C+3%2Ax%2B5+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\n" );
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document.write( "Now take x or y (we will do both for examples):<BR>\n" );
document.write( "y <BR>\n" );
document.write( "and assign a value<BR>\n" );
document.write( "y=4\r<BR>\n" );
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document.write( "Now plot it:<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>This equation defines a horizontal line. There is no X intercept. Y intercept is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F1=4 ALIGN=MIDDLE  ALT=\"4%2F1=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+-10%2C+10%2C+4+-+10%2C+4%2B10%2C+4%2F1+%29+ ALIGN=MIDDLE  ALT=\"graph%28+500%2C+500%2C+-10%2C+10%2C+4+-+10%2C+4%2B10%2C+4%2F1+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ></TD></TR>\n" );
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document.write( "Now take x<BR>\n" );
document.write( "x<BR>\n" );
document.write( "and assign a value<BR>\n" );
document.write( "x=2\r<BR>\n" );
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document.write( "Now plot it:<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>this equation defines a vertical line. <BR>\n" );
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document.write( "    <LI> X intercept: 2. X intercept is the intersection of the line with the x axis. </LI><BR>\n" );
document.write( "    <LI> Y intercept: not defined (the line IS vertical)</LI><BR>\n" );
document.write( "    <LI> Slope: not defined, can be thought of as infinite</LI><BR>\n" );
document.write( "  </UL><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+2-5%2C+2%2B5%2C+-10%2C+10%2C+1000000x-1000000%2A2+%29+ ALIGN=MIDDLE  ALT=\"graph%28+500%2C+500%2C+2-5%2C+2%2B5%2C+-10%2C+10%2C+1000000x-1000000%2A2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\n" );
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document.write( "That's all there is to it. </SPAN>\n" );
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