document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=58730>Question 58730</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078603900/algebrahomeworkh>Algebra I</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I'm trying to find how to solve for the following equation.  \r<BR>\n" );
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document.write( "Find the slope/intercept form of a linear equation that is perpendicular to Y=5x and passes through the point (-5,-5).  Graph both lines to see that they are perpendicular.\r<BR>\n" );
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document.write( "Thank for the help\r<BR>\n" );
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document.write( "J.B. Gaskins </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #40320 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=40320\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi J.B. Gaskins<BR>\n" );
document.write( "Find the slope/intercept form of a linear equation that is perpendicular to Y=5x and passes through the point (-5,-5).  Graph both lines to see that they are perpendicular.<BR>\n" );
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document.write( "Perpendicular lines have slopes that are negative reciprocals of each other, they're opposite signs and upside down.<BR>\n" );
document.write( "The line that they gave you is in slope intercept form:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=mx%2Bb%29 ALIGN=MIDDLE  ALT=\"highlight%28y=mx%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, m=slop, (0,b)=y-intercept.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=highlight%285%29x ALIGN=MIDDLE  ALT=\"y=highlight%285%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > the slope of this line is m=5<BR>\n" );
document.write( "The slope of all lines perpendicular to this line is: m=-1/5<BR>\n" );
document.write( "Use the point-slope formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y-y1=m%28x-x1%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y-y1=m%28x-x1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >to find the perpendicular line going through (x1,y1)=(-5,-5).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-%28-5%29=%28-1%2F5%29%28x-%28-5%29%29 ALIGN=MIDDLE  ALT=\"y-%28-5%29=%28-1%2F5%29%28x-%28-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B5=%28-1%2F5%29%28x%2B5%29 ALIGN=MIDDLE  ALT=\"y%2B5=%28-1%2F5%29%28x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B5=%28-1%2F5%29x-%281%2F5%29%285%29 ALIGN=MIDDLE  ALT=\"y%2B5=%28-1%2F5%29x-%281%2F5%29%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B5=%28-1%2F5%29x-1 ALIGN=MIDDLE  ALT=\"y%2B5=%28-1%2F5%29x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B5-5=%28-1%2F5%29x-1-5 ALIGN=MIDDLE  ALT=\"y%2B5-5=%28-1%2F5%29x-1-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%28-1%2F5%29x-6%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%28-1%2F5%29x-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-15%2C15%2C-10%2C10%2C5x%2C%28-1%2F5%29x-6%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-15%2C15%2C-10%2C10%2C5x%2C%28-1%2F5%29x-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The red line is y=5x, the green one is y=(-1/5)x-6.  They meet at a 90 degree angle and thus are perpendicular.<BR>\n" );
document.write( "Happy Calculating, J.B. Gaskins!!!<BR>\n" );
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