document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=390803>Question 390803</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the answer to the algebraic pattern below and how did you get to this answer.  This is homework for my son.  Please show work.\r<BR>\n" );
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document.write( "x,-1,0,-2,1,2<BR>\n" );
document.write( "y,-1,0,-8,1,8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #277134 by </B><A HREF=/tutors/aboutme.mpl?userid=haileytucki><B>haileytucki(390)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=haileytucki><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=haileytucki><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=277134\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> well, you can find the midpoint by:\r<BR>\n" );
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document.write( "x(-1,0,-2,1,2)_y(-1,0,-8,1,8)\r<BR>\n" );
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document.write( "Use the midpoint formula to find the midpoint of the line segment.<BR>\n" );
document.write( "((x1+x2)/(2) , (y1+y2)/(2))\r<BR>\n" );
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document.write( "Substitute in the values for (x1,y1) and (x2,y2).<BR>\n" );
document.write( "((-1-1)/(2),(0+0)/(2))\r<BR>\n" );
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document.write( "Subtract 1 from -1 to get -2.<BR>\n" );
document.write( "((-2)/(2),(0+0)/(2))\r<BR>\n" );
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document.write( "Move the minus sign from the numerator to the front of the expression.<BR>\n" );
document.write( "(-(2)/(2),(0+0)/(2))\r<BR>\n" );
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document.write( "Reduce the expression -(2)/(2) by removing a factor of 2 from the numerator and denominator.<BR>\n" );
document.write( "(-1,(0+0)/(2))\r<BR>\n" );
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document.write( "Combine all similar expressions.<BR>\n" );
document.write( "(-1,(0)/(2))\r<BR>\n" );
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document.write( "Reduce the expression (0)/(2) by removing a factor of  from the numerator and denominator.<BR>\n" );
document.write( "(-1,0)\r<BR>\n" );
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document.write( "Or find the equation using the two points (x,y)\r<BR>\n" );
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document.write( "x(-1,0,-2,1,2)_y(-1,0,-8,1,8)\r<BR>\n" );
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document.write( "Use y=mx+b to calculate the equation of the line, where m represents the slope and b represents the y-intercept.<BR>\n" );
document.write( "To calculate the equation of the line, use the y=mx+b format.\r<BR>\n" );
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document.write( "Slope is equal to the change in y over the change in x, or 'rise over run'.<BR>\n" );
document.write( "m=(change  in  y)/(change  in  x)\r<BR>\n" );
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document.write( "The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).<BR>\n" );
document.write( "m=(y2-y1)/(x2-x1)\r<BR>\n" );
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document.write( "Substitute in the values of x and y into the equation to find the slope.<BR>\n" );
document.write( "m=(0-(0))/(-1-(-1))\r<BR>\n" );
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document.write( "Multiply -1 by each term inside the parentheses.<BR>\n" );
document.write( "m=(0-(0))/(-1+1)\r<BR>\n" );
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document.write( "Add 1 to -1 to get 0.<BR>\n" );
document.write( "m=(0-(0))/(0)\r<BR>\n" );
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document.write( "Since the denominator is 0, the slope is undefined.<BR>\n" );
document.write( "Undefined\r<BR>\n" );
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document.write( "The slope is undefined, so this is the equation of a vertical line.<BR>\n" );
document.write( "x=-1\r<BR>\n" );
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document.write( " </SPAN>\n" );
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