document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=315640>Question 315640</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The line is perpendicular to x-5y=4 and passes through the point (-1,1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226482 by </B><A HREF=/tutors/aboutme.mpl?userid=moshiz08><B>moshiz08(60)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=moshiz08><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=moshiz08><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=226482\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First we must find the slope of the line x-5y=4. We shall put it into slope-intercept form. \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-5y=4 ALIGN=MIDDLE  ALT=\"x-5y=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+4+%2B+5y+ ALIGN=MIDDLE  ALT=\"x+=+4+%2B+5y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y+=+x+-+4+ ALIGN=MIDDLE  ALT=\"5y+=+x+-+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28x%2F5%29+-+%284%2F5%29+ ALIGN=MIDDLE  ALT=\"y+=+%28x%2F5%29+-+%284%2F5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "The slope of this line is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=1%2F5 ALIGN=MIDDLE  ALT=\"m=1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >. The slope of a line perpendicular to this is -5. \r<BR>\n" );
document.write( "\n" );
document.write( "The line must pass through the point (-1,1). \r<BR>\n" );
document.write( "\n" );
document.write( "We can give the equation of the line now in point-slope form: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+y_0+=+m%28x-x_0%29+ ALIGN=MIDDLE  ALT=\"y+-+y_0+=+m%28x-x_0%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=-5 ALIGN=MIDDLE  ALT=\"m=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x_0+=+-1 ALIGN=MIDDLE  ALT=\"x_0+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y_0+=+1 ALIGN=MIDDLE  ALT=\"y_0+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
document.write( "\n" );
document.write( "So our equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+1+=+-5+%28x+-+%28-1%29+%29+ ALIGN=MIDDLE  ALT=\"y+-+1+=+-5+%28x+-+%28-1%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
document.write( "\n" );
document.write( "We can convert this to slope-intercept form too: \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+1+=+-5+%28x+%2B+1%29+ ALIGN=MIDDLE  ALT=\"y+-+1+=+-5+%28x+%2B+1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+1+=+-5x+-+5+ ALIGN=MIDDLE  ALT=\"y+-+1+=+-5x+-+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "So the line in slope-intercept form is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-5x+-+4+ ALIGN=MIDDLE  ALT=\"+y+=+-5x+-+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "Also, we can convert this to standard form as: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5x+%2B+y+=+-4+ ALIGN=MIDDLE  ALT=\"+5x+%2B+y+=+-4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
document.write( "\n" );
document.write( "I hope this helps!  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );