document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=139826>Question 139826</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A line passing through (-4,4) and (x,-8) is perpendicular to a line with slope 5/12. Find the value of x. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101940 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=101940\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A line passing through (-4,4) and (x,-8) is perpendicular to a line with slope 5/12. Find the value of x.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "m1 = slope of the given coordinates<BR>\n" );
document.write( "m2 = 5/12<BR>\n" );
document.write( ";<BR>\n" );
document.write( "We know that the relationship of the slopes of perpendicular lines is:<BR>\n" );
document.write( "m1 * m2 = -1<BR>\n" );
document.write( "m1 *<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F12 ALIGN=MIDDLE  ALT=\"5%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -1<BR>\n" );
document.write( "Multiply equation by 12:<BR>\n" );
document.write( "m1 * 5 = -12<BR>\n" );
document.write( "m1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12%2F5 ALIGN=MIDDLE  ALT=\"-12%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Using the slope formula;  (y2-y1)/(x2-x1) = m:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-8+-+4%29%2F%28x+-%28-4%29%29 ALIGN=MIDDLE  ALT=\"%28-8+-+4%29%2F%28x+-%28-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12%2F5 ALIGN=MIDDLE  ALT=\"-12%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "You can see that x has to = 1, but here is the algebra to solve it:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-12%29%2F%28%28x%2B4%29%29 ALIGN=MIDDLE  ALT=\"%28-12%29%2F%28%28x%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12%2F5 ALIGN=MIDDLE  ALT=\"-12%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "neg on both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F%28%28x%2B4%29%29 ALIGN=MIDDLE  ALT=\"12%2F%28%28x%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F5 ALIGN=MIDDLE  ALT=\"12%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply, solve for x:<BR>\n" );
document.write( "12(x+4) = 12 * 5<BR>\n" );
document.write( "12x + 48 = 60<BR>\n" );
document.write( "12x = 60 - 48<BR>\n" );
document.write( "12x = 12<BR>\n" );
document.write( "x = 1<BR>\n" );
document.write( " </SPAN>\n" );
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