document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=686223>Question 686223</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of k so that the three points lie on the same line. Write the equation in point slope form. The points given are (1,-2) (-2,4) (4,k)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #424720 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=424720\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the value of k so that the three points lie on the same line. Write the equation in point slope form. The points given are (1,-2) (-2,4) (4,k)<BR>\n" );
document.write( "**<BR>\n" );
document.write( "y-y1=m(x-x1)<BR>\n" );
document.write( "using given point (1,-2)<BR>\n" );
document.write( "y-(-2)=m(x-1)<BR>\n" );
document.write( "y+2=m(x-1)<BR>\n" );
document.write( "using given points (1,-2) and (-2,4) to find slope,m<BR>\n" );
document.write( "m=&#8710;y/&#8710;x=(4-(-2))/(-2-1)=(4+2)/-3=6/-3=-2<BR>\n" );
document.write( "y+2=-2(x-1)<BR>\n" );
document.write( "y+2=-2x+2<BR>\n" );
document.write( "y=-2x<BR>\n" );
document.write( "solving for k<BR>\n" );
document.write( "k=-2*4=-8<BR>\n" );
document.write( "k=-8<BR>\n" );
document.write( "see graph below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C-2x%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C-2x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );