document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=827053>Question 827053</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation, in standard form, of the line passing through the points (5,1) and (-2,3).\r<BR>\n" );
document.write( "\n" );
document.write( "A. 7x+2y=-17<BR>\n" );
document.write( "B. Y=7/2x-7<BR>\n" );
document.write( "C. 2x+7y=17<BR>\n" );
document.write( "D. 2x-7y=17 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #498404 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=498404\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First find the slope using equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y2+-+y1%29%2F%28x2+-+x1%29 ALIGN=MIDDLE  ALT=\"%28y2+-+y1%29%2F%28x2+-+x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Make  (5,1) = (x1,y1)<BR>\n" );
document.write( "     (-2,3) = (x2,y2)<BR>\n" );
document.write( "Substituting<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y2+-+y1%29%2F%28x2+-+x1%29 ALIGN=MIDDLE  ALT=\"%28y2+-+y1%29%2F%28x2+-+x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283+-+1%29%2F%28-2+-+5%29 ALIGN=MIDDLE  ALT=\"%283+-+1%29%2F%28-2+-+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%29%2F%28-7%29 ALIGN=MIDDLE  ALT=\"%282%29%2F%28-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now use  y = mx + b as a template. m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%29%2F%28-7%29 ALIGN=MIDDLE  ALT=\"%282%29%2F%28-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as just determined.<BR>\n" );
document.write( "for y and x, use the point (5,1). x=5 and y =1.<BR>\n" );
document.write( "Substitute these values in y = mx + b<BR>\n" );
document.write( "y = mx + b  ;  1 = (-2/7)5 + b<BR>\n" );
document.write( " 1 = -10/7 + b<BR>\n" );
document.write( "add 10/7 to each side<BR>\n" );
document.write( " 1 + 10/7 = b<BR>\n" );
document.write( " 17/7 = b<BR>\n" );
document.write( "So our equation is y = (-2/7)x + 17/7 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );