document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59434>Question 59434</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the equation of the line through the two points (3,4) and (2,-1); write the equation in the slope intercept form and find the x and y intercept of the line.  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #40735 by </B><A HREF=/tutors/aboutme.mpl?userid=uma><B>uma(370)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=uma><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=40735\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The given points are (3,4) and (2,-1)\r<BR>\n" );
document.write( "\n" );
document.write( "Slope of the line through these points =<BR>\n" );
document.write( "  difference in y coordinates/diff in x coord\r<BR>\n" );
document.write( "\n" );
document.write( "Slope = (-1-4)/(2-3)<BR>\n" );
document.write( "      = -5/-1<BR>\n" );
document.write( "      = 5\r<BR>\n" );
document.write( "\n" );
document.write( "Equation of the line with 5 as the slope and passing through (3,4) is <BR>\n" );
document.write( "  y - 4 = 5(x - 3)\r<BR>\n" );
document.write( "\n" );
document.write( "==> y - 4 = 5x - 15<BR>\n" );
document.write( "==> y -4 +4 = 5x - 15 +4<BR>\n" );
document.write( "==> y = 5x - 11\r<BR>\n" );
document.write( "\n" );
document.write( "This is the required equation in slope intercept form.\r<BR>\n" );
document.write( "\n" );
document.write( "We find the y intercept of this line is - 11\r<BR>\n" );
document.write( "\n" );
document.write( "To find the x intercept we plug in y = 0 in the above equation<BR>\n" );
document.write( "==> 0 = 5x - 11<BR>\n" );
document.write( "==> 11 = 5x - 11+ 11<BR>\n" );
document.write( "==> 11 = 5x<BR>\n" );
document.write( "==> 11/5 = 5x/5<BR>\n" );
document.write( "==> 11/5 = x\r<BR>\n" );
document.write( "\n" );
document.write( "The x intercept is 11/5 and y intercepr is -11<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );