document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107916>Question 107916</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine which two equations represent parallel lines<BR>\n" );
document.write( "(a) y=-4x+1<BR>\n" );
document.write( "(b) y= 4x+1<BR>\n" );
document.write( "(c) y= 1/4x+1<BR>\n" );
document.write( "(d) y=-4x+5\r<BR>\n" );
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document.write( "(A) (a) and (b)<BR>\n" );
document.write( "(B) (b) and (c)<BR>\n" );
document.write( "(C) (a) and (c)<BR>\n" );
document.write( "(D) (a) and (d) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #78671 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=78671\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Remember parallel lines have equal slopes. So this means the equations a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-4x%2B1 ALIGN=MIDDLE  ALT=\"y=-4x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and d) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-4x%2B5 ALIGN=MIDDLE  ALT=\"y=-4x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > have equal slopes of -4. So these two lines are parallel\r<BR>\n" );
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document.write( "So the answer is D)\r<BR>\n" );
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document.write( "Notice if we graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-4x%2B1 ALIGN=MIDDLE  ALT=\"y=-4x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-4x%2B5 ALIGN=MIDDLE  ALT=\"y=-4x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+-4x%2B1%2C-4x%2B5%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+-4x%2B1%2C-4x%2B5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "and we can see that the two lines are parallel. So our answer is verified </SPAN>\n" );
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