document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=360454>Question 360454</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, if you could help me with a problem I would be ever so grateful!  I do not know where to start on this one.  I have reviewed my notes but cannot seem to figure it out.<BR>\n" );
document.write( "Write an equation of the line containing a given point and perpendicular to the given line.\r<BR>\n" );
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document.write( "(6,7); 4x + y =5\r<BR>\n" );
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document.write( "Thank you for any assistance you can give. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #257217 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=257217\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an equation of the line containing a given point and perpendicular to the given line.<BR>\n" );
document.write( "(6,7); 4x + y = 5<BR>\n" );
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document.write( "Find the slope of the given equation by putting it in the slope intercept form<BR>\n" );
document.write( "4x + y = 5<BR>\n" );
document.write( "y = -4x + 5<BR>\n" );
document.write( "slope (m1) = -4<BR>\n" );
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document.write( "The relationship of the slopes of perpendicular lines is m1*m2 = -1<BR>\n" );
document.write( "We know m1, find m2<BR>\n" );
document.write( "-4*m2 = -1<BR>\n" );
document.write( "Divide both sides by -4<BR>\n" );
document.write( "m2 = +<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this is slope of the equation we are looking for<BR>\n" );
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document.write( "Use the point/slope form here: y - y1 = m(x-x1)<BR>\n" );
document.write( "Given: x1=6, y1=7<BR>\n" );
document.write( "y - 7 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >(x - 6)<BR>\n" );
document.write( "y - 7 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >x - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F4 ALIGN=MIDDLE  ALT=\"6%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >x - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F4 ALIGN=MIDDLE  ALT=\"6%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 7<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >x - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F4 ALIGN=MIDDLE  ALT=\"6%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28%2F4 ALIGN=MIDDLE  ALT=\"28%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22%2F4 ALIGN=MIDDLE  ALT=\"22%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "let's just call it<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 5.5; is the equation (green) and passes thru 6.7<BR>\n" );
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document.write( "We can see this on a graph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+-4x%2B5%2C+.25x%2B5.5%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+-4x%2B5%2C+.25x%2B5.5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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