document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174056>Question 174056</A>: <I><SPAN STYLE=\"word-break: break-all;\"> WRITE AN EQUATION OF A LINE THAT PASSES THROUGH THE GIVEN POINT AND IS PERPENDICULAR TO THE GIVEN LINE.\r<BR>\n" );
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document.write( "(1,-1), Y= 3X+2\r<BR>\n" );
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document.write( "PLEASE EXPLAIN AS CLEAR AS POSSIBLE AND PLEASE MAKE IT SIMPLE FOR UNDERSTANDING<BR>\n" );
document.write( "AND ALSO DO NOT RESTATE ANY UNNESESSARY FORMULAS. I AM ONLY AN 8TH GRADER. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #128976 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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=128976\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> </pre><font size=4><b><BR>\n" );
document.write( "Given Line 1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3x%2B2 ALIGN=MIDDLE  ALT=\"y=3x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >---->it follows slope-Intercept 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;\" >,<BR>\n" );
document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=Slope=highlight%283%29 ALIGN=MIDDLE  ALT=\"m=Slope=highlight%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=yIntercept=2 ALIGN=MIDDLE  ALT=\"b=yIntercept=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "In Line 1, we designate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Slope ALIGN=MIDDLE  ALT=\"Slope\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D ALIGN=MIDDLE  ALT=\"m%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "when 2 lines are perpendicular, the Slope of the other line is \"negative reciprocal\",<BR>\n" );
document.write( "which means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B2%5D=-1%2Fm%5B1%5D ALIGN=MIDDLE  ALT=\"m%5B2%5D=-1%2Fm%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Therefore, to get the slope of Line 2 that is perpendicular-----><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B2%5D=-1%2Fhighlight%283%29=-1%2F3 ALIGN=MIDDLE  ALT=\"m%5B2%5D=-1%2Fhighlight%283%29=-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then, thru point (1,-1) where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > & <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-1 ALIGN=MIDDLE  ALT=\"y=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,also we use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B2%5D=-1%2F3 ALIGN=MIDDLE  ALT=\"m%5B2%5D=-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Via our Slope-Intercept form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1=%28-1%2F3%29%281%29%2Bb ALIGN=MIDDLE  ALT=\"-1=%28-1%2F3%29%281%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=-1=-1%2F3%2Bb ALIGN=MIDDLE  ALT=\"-1=-1%2F3%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-1%2B%281%2F3%29=%28-3%2B1%29%2F3=-2%2F3 ALIGN=MIDDLE  ALT=\"b=-1%2B%281%2F3%29=%28-3%2B1%29%2F3=-2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, Y-intercept:<BR>\n" );
document.write( "Then the eqn of Line 2 according to our Slope-Intercept Form: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%28-1%2F3%29x-2%2F3%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%28-1%2F3%29x-2%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%281%2F3%29%28x%29%2By=-2%2F3%29 ALIGN=MIDDLE  ALT=\"highlight%28%281%2F3%29%28x%29%2By=-2%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > STandard Form (Answer)<BR>\n" );
document.write( "As we sse the graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-6%2C6%2C-6%2C6%2Cgrid%281%29%2Cgraph%28300%2C300%2C-6%2C6%2C-6%2C6%2C3x%2B2%2C%28-1%2F3%29x-2%2F3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >-------> RED, Line 1 : GREEN, Line 2<BR>\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Jojo</pre> </SPAN>\n" );
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