document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=365049>Question 365049</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I find the slope throught (6,1) and perpendicular to y= 3/2x + 1/4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #260283 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=260283\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do I find the slope throught (6,1) and perpendicular to y= 3/2x + 1/4<BR>\n" );
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document.write( "Since the slope of:<BR>\n" );
document.write( "y= 3/2x + 1/4<BR>\n" );
document.write( "is 3/2<BR>\n" );
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document.write( "a line perpendicular to it must be the \"negative reciprocal\".<BR>\n" );
document.write( "That is, our new slope multiplied by 3/2 must be -1:<BR>\n" );
document.write( "(3/2)m = -1<BR>\n" );
document.write( "3m = -2<BR>\n" );
document.write( "m = -2/3<BR>\n" );
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document.write( "Now, if you want the equation of the line passing through (6,1) with a slope of -2/3 plug it into the \"point-slope\" form:<BR>\n" );
document.write( "y - y1 = m(x - x1)<BR>\n" );
document.write( "y - 1 = (-2/3)(x - 6)<BR>\n" );
document.write( "y - 1 = (-2/3)x + 4<BR>\n" );
document.write( "y = (-2/3)x + 5 (this is what they're looking for in \"slope-intercept\" form)\r<BR>\n" );
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