document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=391825>Question 391825</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation of a line in standard form that passes through (6, -5) perpendicular to the line whose equation is 3x-1/5y=3.<BR>\n" );
document.write( "Can you help me solve? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #278104 by </B><A HREF=/tutors/aboutme.mpl?userid=jjordan95><B>jjordan95(63)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jjordan95><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=jjordan95><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=278104\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In order to find a perpendicular line, you need the equation in the form: <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;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "So convert your function into the form mentioned above:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-%281%2F5%29y=3 ALIGN=MIDDLE  ALT=\"3x-%281%2F5%29y=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2F5%29y=3-3x ALIGN=MIDDLE  ALT=\"%28-1%2F5%29y=3-3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=15x-15 ALIGN=MIDDLE  ALT=\"y=15x-15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Next, we take the inverse reciprocal of the slope (m is the slope in the equation y=mx+b.\r<BR>\n" );
document.write( "\n" );
document.write( "The reciprocal of 15 is 1/15, to invert the number, simply make it the opposite sign that it currently is (positive turns to negative, and vice-versa).  Therefore, the slope of the line perpendicular to y=15x-15, is -1/15.<BR>\n" );
document.write( "The perpendicular line, now has the equation:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-1%2F15%29x%2Bb ALIGN=MIDDLE  ALT=\"y=%28-1%2F15%29x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, we must solve for b.  To solve for b, we simply plug in the x and y values from the point above.  (x,y), (6,-5).\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5=%28-1%2F15%29%286%29%2Bb ALIGN=MIDDLE  ALT=\"-5=%28-1%2F15%29%286%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5=-6%2F15%2Bb ALIGN=MIDDLE  ALT=\"-5=-6%2F15%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2B6%2F15=b ALIGN=MIDDLE  ALT=\"-5%2B6%2F15=b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-75%2F15%2B6%2F15=b ALIGN=MIDDLE  ALT=\"-75%2F15%2B6%2F15=b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-69%2F15=b ALIGN=MIDDLE  ALT=\"-69%2F15=b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Now plug b back into the equation and you have your answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%28-1%2F15%29x-69%2F15%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%28-1%2F15%29x-69%2F15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );