document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=57665>Question 57665</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLEASE HELP SOLVE.\r<BR>\n" );
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document.write( "DETERMINE WHEATHER THE FOLLOWING IS PERPENDICULAR, PARALLEL OR NEITHER\r<BR>\n" );
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document.write( "PROBLEM # 1 :  2X+5Y=-8 AND 6+2X=5Y<BR>\n" );
document.write( "PROBLEM # 2 :  3X=Y AND 2Y-6X=5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #39384 by </B><A HREF=/tutors/aboutme.mpl?userid=hayek><B>hayek(51)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=hayek><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=39384\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Parallel means the lines have an identical slope (m).  Perpendicular means the lines have slopes that are the negative reciprocals of each other (so, if the slope of one line is 2, the slope of its perpendicular line is -1/2).  Anything else means the lines intersect at an angle other than 90.\r<BR>\n" );
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document.write( "To solve these, write the equations in slope-intercept form and you can solve by inspection.\r<BR>\n" );
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document.write( "Problem 1:<BR>\n" );
document.write( "eq(1): 2x+5y=-8<BR>\n" );
document.write( "eq(2): 6+2x=5y\r<BR>\n" );
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document.write( "eq(1) leads to: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%282%2F5%29x-%288%2F5%29 ALIGN=MIDDLE  ALT=\"y=-%282%2F5%29x-%288%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so the slope (m) is -2/5<BR>\n" );
document.write( "eq(2) leads to: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%282%2F5%29x%2B%286%2F5%29 ALIGN=MIDDLE  ALT=\"y=%282%2F5%29x%2B%286%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so the slope (m) is 2/5\r<BR>\n" );
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document.write( "Because the slopes are not the same or the negative reiprocals of each other, they are neither parallel nor perpendicular.\r<BR>\n" );
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document.write( "Here is a graph showing them:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-%282%2F5%29x-%288%2F5%29%2C+%282%2F5%29x%2B%286%2F5%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The second problem can be solved the same way.  The slopes are 3 and 3, which are the same therefore the lines are parallel. </SPAN>\n" );
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