document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=48425>Question 48425</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to find an equation of the line in Ax+By=C form that passes through the points (3, -2) and (5, 4) <BR>\n" );
document.write( "Anyone have any ideas on how to do this? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #32049 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><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=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=32049\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need to find an equation of the line in Ax+By=C form that passes through the points (3, -2) and (5, 4) <BR>\n" );
document.write( "First, find the slope (m) using the slope formula:<BR>\n" );
document.write( "m = (y2-y1)/x2-x1) [Plug-in the values]<BR>\n" );
document.write( "m = (4-(-2))/5-3) = 6/2 = 3<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Using the point-slope format:<BR>\n" );
document.write( "(y-y1) = m(x-x1)<BR>\n" );
document.write( "(y-4) = 3(x-5)[Plug-in the values]<BR>\n" );
document.write( "y-4=3x-15 [Simplify]<BR>\n" );
document.write( "y-4+4 = 3x-15+4 [Move all of the variables to one side of the equation]<BR>\n" );
document.write( "y=3x-11<BR>\n" );
document.write( "-3x+y = -11 [Standard for of a line]<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );