document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=69067>Question 69067</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072549017/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible.  Please show how to do this.  Thanks\r<BR>\n" );
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document.write( "20. (-1, 3) and (4, -2)\r<BR>\n" );
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document.write( "24. (2, -3) and (2, 4)\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 #49234 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=49234\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The slope is the change in y over the change in x, or the \"rise\" over the \"run\"<BR>\n" );
document.write( "So to find the change in y, subtract the y values of the two points; and to find the change in x, subtract the x coordinates.<BR>\n" );
document.write( "Slope: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "20.<BR>\n" );
document.write( "using the slope formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28-2-3%29%2F%284-%28-1%29%29 ALIGN=MIDDLE  ALT=\"m=%28-2-3%29%2F%284-%28-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=-5%2F5=-1 ALIGN=MIDDLE  ALT=\"m=-5%2F5=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Once we have the slope we can plug in any point to complete the equation. Lets plug in (-1,3) into the general form of the linear equation y=mx+b to solve for b, the y-intercept.<BR>\n" );
document.write( "<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;\" >Start with the general form<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=%28-1%29%2A%28-1%29%2Bb ALIGN=MIDDLE  ALT=\"3=%28-1%29%2A%28-1%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >Plug in known values<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=3-1=2 ALIGN=MIDDLE  ALT=\"b=3-1=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >Solve for b<BR>\n" );
document.write( "So the equation is y=-x+2\r<BR>\n" );
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document.write( "24. Use the same procedure<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%284-%28-3%29%29%2F%282-2%29 ALIGN=MIDDLE  ALT=\"m=%284-%28-3%29%29%2F%282-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=7%2F0 ALIGN=MIDDLE  ALT=\"m=7%2F0\"   DISABLED_style= \"max-width:90%; height:auto;\" >Now I must remind you that 7/0 is not defined, so there is no slope<BR>\n" );
document.write( "In this case, the equation isn't even in y form; the equation is in x form. So the equation is simply x=2. </SPAN>\n" );
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