document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=629664>Question 629664</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the lines that goes through the given points (2,-4) and (-3,-9). Write the equation in both standard form and slope-intercept form.<BR>\n" );
document.write( "Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #396410 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=396410\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the lines that goes through the given points (2,-4) and (-3,-9). Write the equation in both standard form and slope-intercept form.<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "The hard way:<BR>\n" );
document.write( "find the slope<BR>\n" );
document.write( "use the slope and either point to find the y-intercept<BR>\n" );
document.write( "--> y = mx + b<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Use determinants:<BR>\n" );
document.write( "----<BR>\n" );
document.write( "|+x +y 1|<BR>\n" );
document.write( "|+2 -4 1| = 0<BR>\n" );
document.write( "|-3 -9 1|<BR>\n" );
document.write( "Note: +x and +y are for alignment<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "x*(-4+9) - y*(2+3) + 1*(-18-12) = 0<BR>\n" );
document.write( "5x - 5y = 30<BR>\n" );
document.write( "x - y = 6<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "y = x - 6<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );