document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=772604>Question 772604</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A line k passes through the points (4, 2) and (-4, and 4). A second line h passes through the points ( -8,1) and ( 8, -3). Is the line k parallel to line h? Why or why not? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #471023 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=471023\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (I)<BR>\n" );
document.write( "If slopes for k and h are equal, then k and h are parallel; but if all four given points are on the same line, then k and h are equal or, \"congruent\".\r<BR>\n" );
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document.write( "(II)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5Bk%5D=%284-2%29%2F%28-4-4%29=-%281%2F4%29 ALIGN=MIDDLE  ALT=\"m%5Bk%5D=%284-2%29%2F%28-4-4%29=-%281%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5Bh%5D=%28-3-1%29%2F%288-%28-8%29%29=-%284%2F16%29=-%281%2F4%29 ALIGN=MIDDLE  ALT=\"m%5Bh%5D=%28-3-1%29%2F%288-%28-8%29%29=-%284%2F16%29=-%281%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(III)<BR>\n" );
document.write( "Are these lines the same?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=y-mx ALIGN=MIDDLE  ALT=\"b=y-mx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The formula for b allows to quickly determine the y-intercept for a line from slope-intercept form.  Pick any of the line's points.<BR>\n" );
document.write( "k:   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=2-%28-1%2F4%294=2%2B1=3 ALIGN=MIDDLE  ALT=\"b=2-%28-1%2F4%294=2%2B1=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h:   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=1-%28-1%2F4%29%28-8%29=1-2=-1 ALIGN=MIDDLE  ALT=\"b=1-%28-1%2F4%29%28-8%29=1-2=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "h and k are different lines with the same slope, so THEY ARE PARALLEL.<BR>\n" );
document.write( "h is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%281%2F4%29x-1 ALIGN=MIDDLE  ALT=\"y=-%281%2F4%29x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and k is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%281%2F4%29x%2B3 ALIGN=MIDDLE  ALT=\"y=-%281%2F4%29x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "________________________________________________________________________ </SPAN>\n" );
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