document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=709502>Question 709502</A>: <I><SPAN STYLE=\"word-break: break-all;\">   	\r<BR>\n" );
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document.write( "Determine if the pair of lines are parallel, perpendicular, coincident, or none of the above.\r<BR>\n" );
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document.write( "x + 2y = -24<BR>\n" );
document.write( "-6x + 3y = 21\r<BR>\n" );
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document.write( "and please explain how you can tell by just loooking! thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #436605 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=436605\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine if the pair of lines are parallel, perpendicular, coincident, or none of the above. \r<BR>\n" );
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document.write( "x + 2y = -24<BR>\n" );
document.write( "-6x + 3y = 21 <BR>\n" );
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document.write( "Solve each for \"y\":<BR>\n" );
document.write( "y = (-1/2)x - 12<BR>\n" );
document.write( "slope = -1/2 ; y-int = -12<BR>\n" );
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document.write( "y = 3x + 7<BR>\n" );
document.write( "slope = 3 ; y-int = 7<BR>\n" );
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document.write( "Since the slopes are not equal the lines are not parallel or coincident.<BR>\n" );
document.write( "Since the product of the slopes is not -1, the lines are not perpendicular.<BR>\n" );
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document.write( "By looking:<BR>\n" );
document.write( "ax + by = c<BR>\n" );
document.write( "dx + ey = f<BR>\n" );
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document.write( "If a/d = b/e and a/d is not equal to c/f the lines are parallel.<BR>\n" );
document.write( "If a/d = b/e = c/f the lines are coincident<BR>\n" );
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document.write( "If a/d is not equal to b/e the lines intersect at one point.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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