document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=901405>Question 901405</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of k so that the line through the points (-2,3) and (6,k) has y-intercept 6. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #546718 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=546718\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the value of k so that the line through the points (-2,3) and (6,k) has y-intercept 6.<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Standard form of equation for a line: y=mx+b, m=slope, b=y-intercept<BR>\n" );
document.write( "For given problem:<BR>\n" );
document.write( "slope, m=&#8710;y/&#8710;x=(k-3)/(6-(-2))=(k-3)/8<BR>\n" );
document.write( "y=mx+6<BR>\n" );
document.write( "using coordinates of given point (-2,3)<BR>\n" );
document.write( "3=m*-2+6<BR>\n" );
document.write( "2m=3<BR>\n" );
document.write( "m=3/2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28k-3%29%2F8=3%2F2 ALIGN=MIDDLE  ALT=\"%28k-3%29%2F8=3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2(k-3)=8*3<BR>\n" );
document.write( "2k-6=24<BR>\n" );
document.write( "2k=30<BR>\n" );
document.write( "k=15 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );