document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=330383>Question 330383</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am learning to solve and decide whether the pair of lines is parallel, perpendicular, or neither.\r<BR>\n" );
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document.write( "4x + 3y = 2<BR>\n" );
document.write( "4x + 3y = 10\r<BR>\n" );
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document.write( "Thanks for your help :o) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #236863 by </B><A HREF=/tutors/aboutme.mpl?userid=neatmath><B>neatmath(302)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=neatmath><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=neatmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=236863\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>In order to figure this out, just find out the slope of each line by putting the original equations in slope-intercept form! <br>\r<BR>\n" );
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document.write( "4x+3y=2<br>\r<BR>\n" );
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document.write( "3y=-4x+2<br>\r<BR>\n" );
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document.write( "y=-4x/3+2/3<br>\r<BR>\n" );
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document.write( "Thus, the slope of the first line is -4/3<br>\r<BR>\n" );
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document.write( "4x+3y=10<br>\r<BR>\n" );
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document.write( "3y=-4x+10<br>\r<BR>\n" );
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document.write( "y=-4x/3+10/3<br>\r<BR>\n" );
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document.write( "Thus, the slope of the second line is -4/3<br>\r<BR>\n" );
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document.write( "It is then easy to see that the 2 lines have the same slope, but different y-intercepts.<br>\r<BR>\n" );
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document.write( "When 2 lines have the same slope, but are not the same line, by definition, they are parallel lines!<br>\r<BR>\n" );
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document.write( "If the slopes of the 2 lines were negative reciprocals of each other, ie slope1=-1/slope2, then the lines would be perpendicular to each other.<br>\r<BR>\n" );
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document.write( "Otherwise, the 2 lines are neither parallel nor perpendicular to each other.<br>\r<BR>\n" );
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document.write( "I hope this helps!  :) </SPAN>\n" );
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