document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=182916>Question 182916</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0201531747/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this exercise; <BR>\n" );
document.write( "The directions are, write an equation for each.\r<BR>\n" );
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document.write( "Passes through (4,10) and is perpendicular to the line 6x-3y=5.\r<BR>\n" );
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document.write( "I have tried midpoint and point slope formula and I am still stuck.\r<BR>\n" );
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document.write( "Look forward to hearing from you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137312 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=137312\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start by putting:<BR>\n" );
document.write( "6x-3y=5<BR>\n" );
document.write( "into the \"slope-intercept\" form:<BR>\n" );
document.write( "y = mx + b<BR>\n" );
document.write( "where <BR>\n" );
document.write( "m is slope<BR>\n" );
document.write( "b is y-intercept<BR>\n" );
document.write( ".<BR>\n" );
document.write( "6x-3y=5<BR>\n" );
document.write( "-3y = -6x + 5<BR>\n" );
document.write( "y = 2x - 5/3<BR>\n" );
document.write( "So, now we know that the slope of this line is 2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "If we want, a line that is perpendicular to the above, the slope has to be the \"negative reciprocal\"<BR>\n" );
document.write( "So, our NEW line has to have a slope of -1/2 because:<BR>\n" );
document.write( "2(-1/2) = -1<BR>\n" );
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document.write( "Recapping we have:<BR>\n" );
document.write( "m = -1/2<BR>\n" );
document.write( "and a single point at (4,10)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Stuff it all into the \"point-slope\" form:<BR>\n" );
document.write( "y - y1 = m(x-x1)<BR>\n" );
document.write( "y - 10 = (-1/2)(x-4)<BR>\n" );
document.write( "y - 10 = (-1/2)x + 2<BR>\n" );
document.write( "y = (-1/2)x + 12 (this is what they're looking for)<BR>\n" );
document.write( " </SPAN>\n" );
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