document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=637250>Question 637250</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the value of k so that the graph of kx+3y=4 is parallel to the line through (2,-k) and(4,-1). Please help  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #401523 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=401523\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> kx + 3y = 4 can be expressed as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-k%2F3%29x+%2B+4%2F3 ALIGN=MIDDLE  ALT=\"y+=+%28-k%2F3%29x+%2B+4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, therefore its slope is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-k%2F3 ALIGN=MIDDLE  ALT=\"-k%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The slope of the line joining the points (2, -k) and (4,-1) is equal to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1-%28-k%29%29%2F%284-2%29+=+%28k-1%29%2F2 ALIGN=MIDDLE  ALT=\"%28-1-%28-k%29%29%2F%284-2%29+=+%28k-1%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Equate the two slopes because parallel line have equal slopes.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-k%2F3+=+%28k-1%29%2F2 ALIGN=MIDDLE  ALT=\"-k%2F3+=+%28k-1%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, multiply both sides by 6<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2k+=+3k-3 ALIGN=MIDDLE  ALT=\"-2k+=+3k-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5k+=+-3 ALIGN=MIDDLE  ALT=\"-5k+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28k+=+3%2F5%29 ALIGN=MIDDLE  ALT=\"highlight%28k+=+3%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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