document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=123790>Question 123790</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A line passing through (–6, –5) and (–1, y) is perpendicular to a line with slope -5/13 . Find the value of y  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #90943 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=90943\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A line passing through (–6, –5) and (–1, y) is perpendicular to a line with slope -5/13 . Find the value of y <BR>\n" );
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document.write( "It's useful to remember that the relationship of slopes of perpendicular lines is:<BR>\n" );
document.write( "m1 * m2 = -1<BR>\n" );
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document.write( "Let m1 = -5/3, the given slope<BR>\n" );
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document.write( "m2 = slope of given coordinates line<BR>\n" );
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document.write( "Find m2<BR>\n" );
document.write( "(-5/3)*m2 = -1<BR>\n" );
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document.write( "m2 = -1 * (-3/5); (invert and multiply dividing fractions)<BR>\n" );
document.write( "m2 = +3/5<BR>\n" );
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document.write( "Using the slope formula: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y2-y1%29%2F%28x2-x1%29 ALIGN=MIDDLE  ALT=\"%28y2-y1%29%2F%28x2-x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = m<BR>\n" );
document.write( "Assign the given coordinates: x1=-6, y1=-5; x2=-1; y2=y<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y+-%28-5%29%29%2F%28-1-%28-6%29%29+=+3%2F5 ALIGN=MIDDLE  ALT=\"%28y+-%28-5%29%29%2F%28-1-%28-6%29%29+=+3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y+%2B+5%29%2F%28-1+%2B+6%29+=+3%2F5 ALIGN=MIDDLE  ALT=\"%28y+%2B+5%29%2F%28-1+%2B+6%29+=+3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28y%2B5%29%29%2F5+=+3%2F5 ALIGN=MIDDLE  ALT=\"%28%28y%2B5%29%29%2F5+=+3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Both have the same denominators so we can say:<BR>\n" );
document.write( "y + 5 = 3<BR>\n" );
document.write( "y = 3 - 5<BR>\n" );
document.write( "y = -2<BR>\n" );
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document.write( "Check using the slope formula with y=-2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2+-%28-5%29%29%2F%28-1-%28-6%29%29+=+3%2F5 ALIGN=MIDDLE  ALT=\"%28-2+-%28-5%29%29%2F%28-1-%28-6%29%29+=+3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2+%2B+5%29%2F%28-1+%2B+6%29+=+3%2F5 ALIGN=MIDDLE  ALT=\"%28-2+%2B+5%29%2F%28-1+%2B+6%29+=+3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > confirms our solution  <BR>\n" );
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