document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=319275>Question 319275</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the linear equation  for coordinates, (0,1) and (5,4) on the coordinate plane.  Express your solution in the ax+by=c format. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #228749 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=228749\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the linear equation for coordinates, (0,1) and (5,4) on the coordinate plane. Express your solution in the ax+by=c format.<BR>\n" );
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document.write( "Given 2 points example. <BR>\n" );
document.write( "Find the equation of the line thru the points (2,1) and (3,5)<BR>\n" );
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document.write( "This is a 2 step process.  First find the slope of the line thru the points.<BR>\n" );
document.write( "slope, m = diffy/diffx<BR>\n" );
document.write( "m = (5-1)/(3-2)<BR>\n" );
document.write( "m = 4<BR>\n" );
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document.write( "Now use y = mx + b with either point to find b, the y-intercept.<BR>\n" );
document.write( "y = mx + b<BR>\n" );
document.write( "5 = 4*3 + b<BR>\n" );
document.write( "b = -7<BR>\n" );
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document.write( "y = mx + b<BR>\n" );
document.write( "y = 4x - 7 is the line (slope-intercept format)<BR>\n" );
document.write( "4x - y = 7 (standard format)<BR>\n" );
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document.write( "Another approach using determinants:<BR>\n" );
document.write( "|x y 1|<BR>\n" );
document.write( "|2 1 1| = 0<BR>\n" );
document.write( "|3 5 1|<BR>\n" );
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document.write( "x(1-5) - y(2-3) + 1(10-3) = 0<BR>\n" );
document.write( "-4x + y + 7 = 0<BR>\n" );
document.write( "y = 4x - 7<BR>\n" );
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document.write( "For further assistance, or to check your work, email me via the thank you note <BR>\n" );
document.write( " or at Moral Loophole@aol.com<BR>\n" );
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