document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=114686>Question 114686</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write the equation of the line that contains the point (5,-2) and is perpendicular to the line 5x-2y=3\r<BR>\n" );
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document.write( "Also, how do I send you a problem that contains exponents when all I have is a standard keyboard?\r<BR>\n" );
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document.write( "-Jamie </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #83655 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=83655\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> write the equation of the line that contains the point (5,-2) and is perpendicular to the line: 5x-2y = 3:<BR>\n" );
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document.write( "Find the slope of the given equation, put it in the slope intercept form (y=mx+b):<BR>\n" );
document.write( "5x -2y = 3<BR>\n" );
document.write( "-2y = -5x + 3<BR>\n" );
document.write( "We want y to be positive; multiply equation by -1<BR>\n" );
document.write( "2y = +5x - 3<BR>\n" );
document.write( "Divide equation by 2<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F2 ALIGN=MIDDLE  ALT=\"5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >x - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the decimal form<BR>\n" );
document.write( "y = 2.5x - 1.5<BR>\n" );
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document.write( "The slope (m1) of this equation is +2.5<BR>\n" );
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document.write( "The relationship of the slope of perpendicular lines is m1*m2 = -1<BR>\n" );
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document.write( "We know m1 = +2.5, find m2 the slope of the perpendicular line<BR>\n" );
document.write( "2.5*m2 = -1<BR>\n" );
document.write( "m2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2.5 ALIGN=MIDDLE  ALT=\"-1%2F2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "m2 = -.4 is the slope<BR>\n" );
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document.write( "Find the equation of the line using the point/slope equation: y - y1 = m(x - x1)<BR>\n" );
document.write( "We have m = -.4; Given: x1 = 5; y1 = -2<BR>\n" );
document.write( "y - (-2) = -.4(x - 5)<BR>\n" );
document.write( "y + 2 = -.4x + 2<BR>\n" );
document.write( "y = -.4x + 2 - 2<BR>\n" );
document.write( "y = .4x is the line that is perpendicular to the 5x - 2y = 3<BR>\n" );
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document.write( "If you graph these you can see that this is true<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+-.4x%2C+2.5x+-+1.5+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+-.4x%2C+2.5x+-+1.5+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Note that the perpendicular line (purple line) goes thru x=5; y=-2<BR>\n" );
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document.write( "One way you can write exponents is use the ^ ; (upper case 6)<BR>\n" );
document.write( "for instance an equation can be written y = x^3 + 2x^2 + x + 10 </SPAN>\n" );
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