document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1066950>Question 1066950</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the following two linear equations, determine whether the lines are parallel, perpendicular, or neither.  Show all work and explain your conclusion clearly.<BR>\n" );
document.write( "6x+7y=42<BR>\n" );
document.write( "7x=16+6y<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #682179 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=682179\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) 6x +7y = 42<BR>\n" );
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document.write( "2) 7x = 16 + 6y<BR>\n" );
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document.write( "We want the slope-intercept form of each equation, that is, y = mx +b where m is the slope and b is the y intercept<BR>\n" );
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document.write( "equation 1)<BR>\n" );
document.write( "7y = -6x + 42<BR>\n" );
document.write( "y = (-6x/7) + 6<BR>\n" );
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document.write( "equation 2)<BR>\n" );
document.write( "7x = 16 + 6y<BR>\n" );
document.write( "6y = 7x - 16<BR>\n" );
document.write( "y = (7x/6) - (16/6)<BR>\n" );
document.write( "y = (7x/6) - (8/3)<BR>\n" );
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document.write( "The slope for equation 1) is (-6/7) and the slope for equation 2) is (7/6), the slopes are the negative reciprocals of each other<BR>\n" );
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document.write( "the lines are perpendicular, here is their graph, equation 1) is red and equation 2) is green<BR>\n" );
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