document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1063623>Question 1063623</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given A(-1,4) and B(3,-2). A find the midpoint of AB.<BR>\n" );
document.write( "B)Find the equation to the line through A and B. In slope intercept form.<BR>\n" );
document.write( "C)General form with integer coefficients </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #678751 by </B><A HREF=/tutors/aboutme.mpl?userid=sky1983><B>sky1983(10)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sky1983><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=sky1983><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=678751\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the midpoint is the average of the two points<BR>\n" );
document.write( "x = (-1+3)/2 = 2/2 = 1<BR>\n" );
document.write( "y = [4+(-2)]/2 = 2/2 = 1<BR>\n" );
document.write( "the midpoint is at (1,1)\r<BR>\n" );
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document.write( "to find the equation in slope intercept form, find first the slope<BR>\n" );
document.write( "m = [4-(-2)]/[-1-3] = 6/-4 = -3/2<BR>\n" );
document.write( "from y = mx + b, solve for b using any of the given points, in here i will use point A(-1,4)<BR>\n" );
document.write( "4 =(-3/2)(-1) + b<BR>\n" );
document.write( "4 = 3/2 + b<BR>\n" );
document.write( "b=5/2<BR>\n" );
document.write( "so our equation is,<BR>\n" );
document.write( "y = (-3/2)x + 5/2\r<BR>\n" );
document.write( "\n" );
document.write( "The \"General Form\" of the equation of a straight line is:<BR>\n" );
document.write( "Ax + By + C = 0<BR>\n" );
document.write( "y = (-3/2)x + 5/2<BR>\n" );
document.write( "y + (3/2)x - 5/2 = 0<BR>\n" );
document.write( "rearrange<BR>\n" );
document.write( "(3/2)x + y - 5/2 = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "cheers mate!<BR>\n" );
document.write( "sky1983 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );