document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=967350>Question 967350</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a if the point (3,a) is on the line that passes through (-2,7) and (5,-3). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #591247 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=591247\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find a if the point (3,a) is on the line that passes through (-2,7) and (5,-3).<BR>\n" );
document.write( "Equation of a line: y=mx+b, m=slope, b-y-intercept<BR>\n" );
document.write( "slope=&#8710;y/&#8710;x=7-(-3)/(-2,-5)=(7+3)/-2-5=-10/7<BR>\n" );
document.write( "equation: y=-10x/7+b<BR>\n" );
document.write( "solving b using given coordinates on the line<BR>\n" );
document.write( "7=-10*-2/7+b<BR>\n" );
document.write( "b=49/7-20/7=29/7<BR>\n" );
document.write( "equation: y=-10x/7+29/7<BR>\n" );
document.write( "solving for a: plug in x=3 and solve for y<BR>\n" );
document.write( "a=-10*3/7+29/7=-30/7+29/7=-1/7 </SPAN>\n" );
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