document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=784972>Question 784972</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Using the formula y= mx+b find the equation of the line determined by the two points (-3,2) and (-2, 8)  \r<BR>\n" );
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document.write( "I do not have a good description of how to do this problem.  I need to see how they are worked out so I can solve them.  Thank you so much. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #477298 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=477298\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Q: Using the formula y= mx+b find the equation of the line determined by the two points (-3,2) and (-2, 8).<BR>\n" );
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document.write( "A:<BR>\n" );
document.write( "If (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D ALIGN=MIDDLE  ALT=\"x%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%5D ALIGN=MIDDLE  ALT=\"y%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >) and (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D ALIGN=MIDDLE  ALT=\"x%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B2%5D ALIGN=MIDDLE  ALT=\"y%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >) are points on the line, then the slope of the line is m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The slope of the line containing (-3,2) and (-2, 8) is<BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288+-+2%29%2F%28-2+-+%28-3%29%29 ALIGN=MIDDLE  ALT=\"%288+-+2%29%2F%28-2+-+%28-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 6.<BR>\n" );
document.write( "The equation of the line is y = 6x + b, where b is the y-intercept.<BR>\n" );
document.write( "To solve for the value of b, choose any point on the line.<BR>\n" );
document.write( "If we choose (-3, 2), then substitute x = -3, y = 2, and solve for b.<BR>\n" );
document.write( "y = 6x + b<BR>\n" );
document.write( "2 = 6(-3) + b<BR>\n" );
document.write( "b = 2 + 18 = 20<BR>\n" );
document.write( "Therefore, the equation of the line is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y+=+6x+%2B+20%29 ALIGN=MIDDLE  ALT=\"highlight%28y+=+6x+%2B+20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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