document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1045941>Question 1045941</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the standard equation of the line which passes through (1,-3) and is perpendicular to the line defined by 2y=3x-1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #661452 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=661452\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2y=3x-1<BR>\n" );
document.write( "finding the Slope<BR>\n" );
document.write( "the standard slope-intercept form for an equation of a line is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+highlight_green%28m%29x+%2B+highlight%28b%29 ALIGN=MIDDLE  ALT=\"y+=+highlight_green%28m%29x+%2B+highlight%28b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "where m is the slope and b the y-intercept.  <BR>\n" );
document.write( "2y=3x-1<BR>\n" );
document.write( "Solving for y<BR>\n" );
document.write( "y =-(3/2)x +1/2  Green Line<BR>\n" );
document.write( "m = -3/2<BR>\n" );
document.write( "Slope of Line perpendicular is 2/3 (negative reciprocal)<BR>\n" );
document.write( "***Using point-slope form, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+y%5B1%5D+=+highlight_green%28m%29%28x+-+x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"y+-+y%5B1%5D+=+highlight_green%28m%29%28x+-+x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y +3 = (2/3)( x - 1)   Pt (1,-3) on this perpendicular line<BR>\n" );
document.write( "y = (2/3)x -2/3  -  9/3<BR>\n" );
document.write( "y = (2/3)x - 11/3 Blue Line<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C+++-6%2C+6%2C+-6%2C+6%2C+grid%281%29%2C+%0D%0A%0D%0A%0D%0Acircle%281%2C-3%2C+0.3%29%2C%0D%0Acircle%280%2C.5%2C+0.3%29%2C%0D%0Acircle%280%2C-11%2F3%2C+0.3%29%2C%0D%0Agraph%28+300%2C+300%2C+-6%2C+6%2C+-6%2C+6%2C0%2C+-%283%2F2%29x+%2B1%2F2%2C%282%2F3%29x+-+11%2F3+%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );