document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=830486>Question 830486</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether the graphs of the equations are perpendicular lines.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-4x+%2B+3 ALIGN=MIDDLE  ALT=\"y=-4x+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y+%2B+x+=+-1 ALIGN=MIDDLE  ALT=\"4y+%2B+x+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #500654 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=500654\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Put the second equation into slope-intercept form.  Now compare the slopes of the two equations.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y%2Bx=-1 ALIGN=MIDDLE  ALT=\"4y%2Bx=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y=-x-1 ALIGN=MIDDLE  ALT=\"4y=-x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-x%2F4-1%2F4 ALIGN=MIDDLE  ALT=\"y=-x%2F4-1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The slope of this equation is -(1/4), and slope of the first equation, already given in slope-intercept form, is -4.<BR>\n" );
document.write( "-<BR>\n" );
document.write( "What is their product?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%281%2F4%29%2A4=-1 ALIGN=MIDDLE  ALT=\"-%281%2F4%29%2A4=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "YES, the equations are perpendicular.  (product of the two slopes is Negative One). </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );