document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=595454>Question 595454</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Write in slope-intercept form the equation of the line that passes through the given points.\r<BR>\n" );
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document.write( "  (-2,-8),(-1,0) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #377162 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=377162\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write in slope-intercept form the equation of the line that passes through the given points. <BR>\n" );
document.write( "(-2,-8),(-1,0)\r<BR>\n" );
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document.write( "Hi, there!<BR>\n" );
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document.write( "A linear equation in slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept. Here, you have two points on the line, but you need to find the slope and the y-intercept.<BR>\n" );
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document.write( "[I] Find the slope of the line. <BR>\n" );
document.write( "The definition of the slope is the change in y over the change in x. So, we find the difference between the y-values in the two points, the difference in the x-values, and then divide.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28-8-0%29%2F%28-2-%28-1%29%29 ALIGN=MIDDLE  ALT=\"m=%28-8-0%29%2F%28-2-%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=%28-8%29%2F%28-1%29 ALIGN=MIDDLE  ALT=\"m=%28-8%29%2F%28-1%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=8 ALIGN=MIDDLE  ALT=\"m=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now we know that the slope of the line m is 8. We can substitute 8 for m in the slope-intercept equation.<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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=8x%2Bb ALIGN=MIDDLE  ALT=\"y=8x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "[II] Find the y-intercept.<BR>\n" );
document.write( "Since both the points on the line make the equation true, we can substitute the x- and y-values for one of the points into the equation and solve for b. You can use either one. I'll use (-1,0).<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=8x%2Bb%29 ALIGN=MIDDLE  ALT=\"y=8x%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=%288%29%28-1%29%2Bb ALIGN=MIDDLE  ALT=\"0=%288%29%28-1%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=-8%2Bb%29 ALIGN=MIDDLE  ALT=\"0=-8%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8=b ALIGN=MIDDLE  ALT=\"8=b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=8 ALIGN=MIDDLE  ALT=\"b=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The y-intercept for this equation is 8. Substitute 8 for b in the slope intercept equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=8x%2Bb ALIGN=MIDDLE  ALT=\"y=8x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=8x%2B8 ALIGN=MIDDLE  ALT=\"y=8x%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "[III] Check your answer.<BR>\n" );
document.write( "It's always a good idea to check your work. We need to make sure that both points are solutions for this equation. We substitute the x- and y-values into the equation.<BR>\n" );
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document.write( "Check (-2,-8).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=8x%2B8 ALIGN=MIDDLE  ALT=\"y=8x%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8=8%28-2%29%2B8 ALIGN=MIDDLE  ALT=\"-8=8%28-2%29%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8=-16%2B8 ALIGN=MIDDLE  ALT=\"-8=-16%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8=-8 ALIGN=MIDDLE  ALT=\"-8=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Bingo!!!<BR>\n" );
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document.write( "Check (-1,0).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=8x%2B8 ALIGN=MIDDLE  ALT=\"y=8x%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=8%28-1%29%2B8 ALIGN=MIDDLE  ALT=\"0=8%28-1%29%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=-8%2B8 ALIGN=MIDDLE  ALT=\"0=-8%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0 ALIGN=MIDDLE  ALT=\"0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Winner, winner, chicken dinner!!!<BR>\n" );
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document.write( "That's it. The equation of the line that passes through(-2,-8),(-1,0) is y=8x+8.<BR>\n" );
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document.write( "Feel free to email me if you have questions about my explanation.<BR>\n" );
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document.write( "Mrs.Figgy<BR>\n" );
document.write( "math.in.the.vortex@gmail.com </SPAN>\n" );
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