document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=54979>Question 54979</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write the equation of the line that passes through (3,2) and is perpendicular to the line 5x+4y=11 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #37174 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=37174\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> write the equation of the line that passes through (3,2) and is perpendicular to the line 5x+4y=11<BR>\n" );
document.write( "First, we need to find the slope of the line they gave us.  To do this we need to put the equation in slope intercept form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=mx%2Bb%29 ALIGN=MIDDLE  ALT=\"highlight%28y=mx%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where m=slope, and (0,b)=y-intercept.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B4y=11 ALIGN=MIDDLE  ALT=\"5x%2B4y=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x%2B5x%2B4y=-5x%2B11 ALIGN=MIDDLE  ALT=\"-5x%2B5x%2B4y=-5x%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y=-5x%2B11 ALIGN=MIDDLE  ALT=\"4y=-5x%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y%2F4=-5x%2F4%2B11%2F4 ALIGN=MIDDLE  ALT=\"4y%2F4=-5x%2F4%2B11%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-5%2F4%29x%2B11%2F4 ALIGN=MIDDLE  ALT=\"y=%28-5%2F4%29x%2B11%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=highlight%28-5%2F4%29x%2B11%2F4 ALIGN=MIDDLE  ALT=\"y=highlight%28-5%2F4%29x%2B11%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > the slope of this line is -5/4.<BR>\n" );
document.write( "We need a line perpendicular to this line so our slope needs to be 4/5. (Flip the slope and change the sign.)<BR>\n" );
document.write( "Now we use the point slope formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y-y1=m%28x-x1%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y-y1=m%28x-x1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where m=slope and (x1,y1)=the given point.  Our m=4/5 and our point is (x1,y1)=(3,2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-2=%284%2F5%29%28x-3%29 ALIGN=MIDDLE  ALT=\"y-2=%284%2F5%29%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28y-2%29=5%284%2F5%29%28x-3%29 ALIGN=MIDDLE  ALT=\"5%28y-2%29=5%284%2F5%29%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y-10=%2820%2F5%29%28x-3%29 ALIGN=MIDDLE  ALT=\"5y-10=%2820%2F5%29%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y-10=4%28x-3%29 ALIGN=MIDDLE  ALT=\"5y-10=4%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y-10=4x-12 ALIGN=MIDDLE  ALT=\"5y-10=4x-12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y-10%2B10=4x-12%2B10 ALIGN=MIDDLE  ALT=\"5y-10%2B10=4x-12%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y=4x-2 ALIGN=MIDDLE  ALT=\"5y=4x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y%2F5=4x%2F5-2%2F5 ALIGN=MIDDLE  ALT=\"5y%2F5=4x%2F5-2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%284%2F5%29x-2%2F5 ALIGN=MIDDLE  ALT=\"y=%284%2F5%29x-2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--slope intercept form of a line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=mx%2Bb%29 ALIGN=MIDDLE  ALT=\"highlight%28y=mx%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );