document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=455327>Question 455327</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The vectors (3,6) and (-2,k) are parallel. Find the value of k? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #312612 by </B><A HREF=/tutors/aboutme.mpl?userid=ilana><B>ilana(307)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ilana><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=312612\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If these vectors are parallel, the slope of the line through (0,0) and (3,6) must be equal to the slope of the line through (0,0) and (-2,k).<BR>\n" );
document.write( "The slope of the line through (0,0) and (3,6) is (6-0)/(3-0), or 2.<BR>\n" );
document.write( "So the slope through (0,0) and (-2,k) must be 2.<BR>\n" );
document.write( "(k-0)/(-2-0)=2<BR>\n" );
document.write( "k/-2=2<BR>\n" );
document.write( "k=-4 </SPAN>\n" );
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