document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=68373>Question 68373</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/093979862x/algebrahomeworkh>An Incremental Development</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line that passes through (4,2) and is perpendicular to the line 3y - 2x = 5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48626 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley71><B>checkley71(8403)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley71><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=48626\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3Y-2X=5<BR>\n" );
document.write( "3Y=2X+5<BR>\n" );
document.write( "Y=2X/3+5/3 THUS THIS LINE HAS A SLOPE OF (2/3) & A LINE PERPENDICULAR TO THIS LINE THEN HAS A SLOPE OF THE NEGATIVE RECIPRICAL OF THIS SLOPE. THUS THE NEW SLOPE IS(-3/2). NOW SUBSTITUTE THE POINTS THROUGH WHICH THIS NEW LINE PASES  (4,2) FOR THE X & Y VALUES IN THE EQUATION ---- <BR>\n" );
document.write( "Y=mX+b WHERE (m=SLOPE) & SOLVE FOR THE Y INTERCEPT (b) THUS:<BR>\n" );
document.write( "2=-3/2*4+b<BR>\n" );
document.write( "2=-12/2+b<BR>\n" );
document.write( "2=-6+b<BR>\n" );
document.write( "2+6=b<BR>\n" );
document.write( "8=b WHICH IS THE Y INTERCEPT OF THE NEW LINE. THUS THE EQUATION OF THIS LINE IS<BR>\n" );
document.write( "Y=-3/2X+8 <BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );