document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1026613>Question 1026613</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the line y = 2x-7.\r<BR>\n" );
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document.write( "What is the slope of a line parallel to this line?\r<BR>\n" );
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document.write( "What is the slope of a line perpendicular to this line? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #641863 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=641863\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Problem: Consider the line y = 2x-7\r<BR>\n" );
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document.write( "Question: What is the slope of a line parallel to this line? \r<BR>\n" );
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document.write( "Answer: <font color = red>2</font>\r<BR>\n" );
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document.write( "Explanation:\r<BR>\n" );
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document.write( "The slope of the given line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2x-7 ALIGN=MIDDLE  ALT=\"y+=+2x-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > is m = 2 since this is in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+mx%2Bb ALIGN=MIDDLE  ALT=\"y+=+mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > and m is the slope. Basically it's the number to the left of the 'x'\r<BR>\n" );
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document.write( "The slope of ANY line parallel to the given line will also have a slope of 2. \r<BR>\n" );
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document.write( "Rule: Parallel lines have equal slopes\r<BR>\n" );
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document.write( "So if the given line has a slope of 2, and any line parallel to it has an equal slope, then that means any line parallel to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2x-7 ALIGN=MIDDLE  ALT=\"y+=+2x-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > will have a slope of 2.\r<BR>\n" );
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document.write( "Problem: Consider the line y = 2x-7\r<BR>\n" );
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document.write( "Question: What is the slope of a line perpendicular to this line?\r<BR>\n" );
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document.write( "Answer: <font color=red>-1/2</font>\r<BR>\n" );
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document.write( "Explanation: \r<BR>\n" );
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document.write( "The slope of the given line is 2. This can be rewritten in fraction form as 2/1 since x/1 = x.\r<BR>\n" );
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document.write( "To find the perpendicular slope, you have to flip the fraction and flip the sign\r<BR>\n" );
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document.write( "flip the fraction: 2/1 ---> 1/2<BR>\n" );
document.write( "flip the sign: +1/2 ----> -1/2\r<BR>\n" );
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document.write( "The original slope is 2/1. The perpendicular slope is -1/2<BR>\n" );
document.write( "Notice how multiplying the two slopes yields -1<BR>\n" );
document.write( "(2/1)*(-1/2) = (2*-1)/(1*2) = -2/2 = -1\r<BR>\n" );
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document.write( "Rule: (original slope)*(perpendicular slope) = -1\r<BR>\n" );
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document.write( "Note: the original slope cannot be 0 </SPAN>\n" );
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