document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=462595>Question 462595</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the slope of the line containing the given pair of points. If the line is undefined, state so. \r<BR>\n" );
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document.write( "(-4, -5) and (-4, 5) \r<BR>\n" );
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document.write( "PLease walk me through this im lost\r<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 #317101 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=317101\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the slope of the line containing the given pair of points. If the line is undefined, state so. \r<BR>\n" );
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document.write( "(-4, -5) and (-4, 5)<BR>\n" );
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document.write( "Let's see if we can get you \"un-confused.\" This isn't too complicated once you know what to do.<BR>\n" );
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document.write( "The slope of a line is the rate of change between any two points on the line. Remember that a line has a constant rate of change. (If the slope was changing, we'd have a curve, or maybe a zigzag figure.)<BR>\n" );
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document.write( "Since we have two points, we can calculate the slope between those two points.<BR>\n" );
document.write( "the slope = [the change in the y-values] divided by [the change in the x-values]<BR>\n" );
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document.write( "We get the x-values and the y-values from the ordered pairs for our two points,<BR>\n" );
document.write( "(-4, -5) and (-4,5). Lets call the first ordered pair Point 1, and the second pair, Point 2. <BR>\n" );
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document.write( "Find the change in y-values<BR>\n" );
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document.write( "Now we ask ourselves, how many units is it from the y-value in Point 1 to the y-value in Point 2? We need to be careful here because there are lots of negative numbers, and 4s and 5s are repeated. We subtract to find the difference between them: -5 - 5 = 10. There are 10 units from -5 to 5.<BR>\n" );
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document.write( "Find the change in x-values.<BR>\n" );
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document.write( "Now we do the same thing for the x-values. How many units is it from the x-value in Point 1 to the x-value in Point 2? We subtract to find the difference between them: -4 - (-4) = -4 + 4 = 0. There are 0 units between -4 and -4. That makes sense, the x-value didn't change.<BR>\n" );
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document.write( "The slope is the change in y-values (10 units) divided by the change in x-values (0 units). In algebra, we can write it like this. The slope m is<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=DELTA%28y%29%2FDELTA%28x%29=10%2F0 ALIGN=MIDDLE  ALT=\"m=DELTA%28y%29%2FDELTA%28x%29=10%2F0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "When we see the 0 in the denominator we see that the slope is undefined because division by zero is undefined. As it turns out, all vertical lines have an undefined slope.<BR>\n" );
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document.write( "Here is what your points look like on their line:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Adrawing%28+300%2C+300%2C+-6%2C+6%2C+-6%2C+6%2C%0D%0A++grid%28+1+%29%2C%0D%0A++locate+%28-4%2C5%2C+P2%29%2C%0D%0A++locate+%28-4%2C-5%2CP1%29%2C%0D%0A++%0D%0A++green%28+line%28+-4%2C+-5%2C+-4%2C5+%29%29%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "hope this helps!<BR>\n" );
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document.write( "Ms.Figgy<BR>\n" );
document.write( "math.in.the.vortex </SPAN>\n" );
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