document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=763508>Question 763508</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine if the graphs of the given equations are parallel.\r<BR>\n" );
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document.write( "y=3x+2<BR>\n" );
document.write( "7y+3x=6\r<BR>\n" );
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document.write( "Are the graphs of the given equations parallel? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #464852 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><B>algebrahouse.com(1659)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><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=algebrahouse.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=464852\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Parallel lines have equal slopes.\r<BR>\n" );
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document.write( "Slope intercept form is y = mx + b<BR>\n" );
document.write( "m is the slope<BR>\n" );
document.write( "b is the y-intercept\r<BR>\n" );
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document.write( "The first line:<BR>\n" );
document.write( "y = 3x + 2<BR>\n" );
document.write( "has a slope of 3\r<BR>\n" );
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document.write( "The second line:<BR>\n" );
document.write( "7y + 3x = 6<BR>\n" );
document.write( "7y = -3x + 6 {subtracted 3x from each side}<BR>\n" );
document.write( "y = (-3/7)x + (6/7)   {divided each side by 7}<BR>\n" );
document.write( "has a slope of -3/7\r<BR>\n" );
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document.write( "The two lines are not parallel because the slopes are different.<BR>\n" );
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