document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=179403>Question 179403</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the equation , in standard form, of the line perpendicular to 2x-3y=-5 and passing through(3, -2) \r<BR>\n" );
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document.write( "I do not know how to begin , please help  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #134328 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=134328\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> when lines are perpendicular they have slopes that are negative inverses of each other<BR>\n" );
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document.write( "so lets find the slope of our equation:<BR>\n" );
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document.write( "2x-3y=-5---->-3y=-2x-5--->y=(2/3)x+(5/3)<BR>\n" );
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document.write( "so our slope is 2/3.  Therefore the line perpedicular to this line will have a slope of -3/2<BR>\n" );
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document.write( "so we have a slope=m=-3/2 and we have a given point (3,-2,). So lets use the point slope formula which is y-k=m(x-h) where m is the slope and (h,k) is any point on the ine<BR>\n" );
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document.write( "y+2=(-3/2)(x-3)<BR>\n" );
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document.write( "2y+4=-3(x-3).......multiplied all terms by 2 to eliminate fraction<BR>\n" );
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document.write( "2y+4=-3x+9.....distributed right side<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%283x-2y=5%29 ALIGN=MIDDLE  ALT=\"highlight%283x-2y=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >......added 3x and subtracted 4 from both sides<BR>\n" );
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document.write( "lets graph to see if these are perpendicular<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%282%2F3%29x%2B%285%2F3%29%2C%28-3%2F2%29x%2B%285%2F2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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