document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=98495>Question 98495</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would you write an equation where its point is (8,-3) and its perpendicular to 4x-3y=10?<BR>\n" );
document.write( "How would you find an equation that matches that on a graph? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #71665 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=71665\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x-3y=10<BR>\n" );
document.write( "we find the slope by converting the equation into the form: y=mx+b where m=slope<BR>\n" );
document.write( "subtract 4x from each side. -3y=-4x+10<BR>\n" );
document.write( "divide -3 into each side. y=(4/3)x-10/3<BR>\n" );
document.write( "so m=4/3<BR>\n" );
document.write( "by definition the slope of the line perpendicular to this line is the negative reciprocal of its slope. So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=-1%2Fm%5B1%5D=-3%2F4 ALIGN=MIDDLE  ALT=\"m=-1%2Fm%5B1%5D=-3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "we use the point-slope form to find the formula of the line.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-y%5B1%5D=m%28x-x%5B1%5D%29+ ALIGN=MIDDLE  ALT=\"y-y%5B1%5D=m%28x-x%5B1%5D%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " for (8,-3): y-(-3)=-3/4(x-8)<BR>\n" );
document.write( "y-(-3)=-3x/4+3/4*8<BR>\n" );
document.write( "y+3=-.75x+6<BR>\n" );
document.write( "subtract 3 from each side. y=-.75x+3<BR>\n" );
document.write( "Ed<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C1.25x-10%2F3%2C-.75x%2B3%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C1.25x-10%2F3%2C-.75x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );