document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=289207>Question 289207</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help Find the equation of the line that passes through (3,-1) and is perpendicular to the line y-2x=10? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #209570 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=209570\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (3,-1) and is perpendicular to the line <BR>\n" );
document.write( "y-2x=10<BR>\n" );
document.write( "y=2x+10 this line has a slope=2 (red line)<BR>\n" );
document.write( "A perpendicular line would have a slope=-1/2.<BR>\n" );
document.write( "Y=mX+b<BR>\n" );
document.write( "-1=-1/2*3+b<BR>\n" );
document.write( "-1=-3/2+b<BR>\n" );
document.write( "b=-1+3/2<BR>\n" );
document.write( "b=-2/2+3/2<BR>\n" );
document.write( "b=1/2 the Y intercept.<BR>\n" );
document.write( "y=-x/2+1/2 (green line).<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+2x+%2B10%2C+-x%2F2+%2B1%2F2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+2x+%2B10%2C+-x%2F2+%2B1%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions 2x +10 and -x/2 +1/2).  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );