document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252857>Question 252857</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help graphing this linear equation.\r<BR>\n" );
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document.write( "2y - 6x = 10\r<BR>\n" );
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document.write( "I think I know what I'm doing but my answer doesn't match my book.<BR>\n" );
document.write( "Any help would be great. Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184958 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=184958\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since this is  a linear equation(forms a straight line) you only need to plot two points.<BR>\n" );
document.write( "The two easiest points to find are when x=0 and when y=0<BR>\n" );
document.write( " so when x=0<BR>\n" );
document.write( "we have 2y=10<BR>\n" );
document.write( "y=5<BR>\n" );
document.write( "so the point is (0,5)<BR>\n" );
document.write( "when y=0 we have<BR>\n" );
document.write( "-6x=10<BR>\n" );
document.write( "x=-10/6=-5/3<BR>\n" );
document.write( " so the point is (-5/3,0)<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=-6+x+%2B+2+y+=+10 ALIGN=MIDDLE  ALT=\"-6+x+%2B+2+y+=+10\"   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+=+--6%2F2 ALIGN=MIDDLE  ALT=\"-a%2Fb+=+--6%2F2\"   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. 10/-6 = -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 10/2 = 5.</LI><LI>Slope is --6/2 = 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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