document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=142430>Question 142430</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation in slope-intercept form passing through the points (2,5) and <BR>\n" );
document.write( "(7,-3).  Any help with this equation would be appreciated.  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 #103659 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=103659\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (2,5) & (7,-3)<BR>\n" );
document.write( "First we find the slope (m) (y2-y1)/(x2-x1)<BR>\n" );
document.write( "m=(-3-5)/(7-2)<BR>\n" );
document.write( "m=-8/5 is the slope.<BR>\n" );
document.write( "now we replace the x & y terms with one set of points & solve for the y intercept (b) in the equation [Y=mX+b]<BR>\n" );
document.write( "5=-8/5*2+b<BR>\n" );
document.write( "5=-16/5+b<BR>\n" );
document.write( "5+16/5=b<BR>\n" );
document.write( "(25+16)/5=b<BR>\n" );
document.write( "41/5=b the y intercept.<BR>\n" );
document.write( "Thus the equation is:<BR>\n" );
document.write( "y=-8x/5+41/5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+10%2C+-10%2C+10%2C+-8x%2F5+%2B41%2F5%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+10%2C+-10%2C+10%2C+-8x%2F5+%2B41%2F5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (graph 300x200 pixels, x from -6 to 10, y from -10 to 10, -8x/5 +41/5).  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );