document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164281>Question 164281</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the linear function whose graph is a line that contain  the pionts (-3,-1) and (2, -6) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121057 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrapro18><B>algebrapro18(249)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrapro18><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=121057\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the linear function whose graph is a line that contain  the pionts (-3,-1) and (2, -6)\r<BR>\n" );
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document.write( "first we want to find the slope of this line\r<BR>\n" );
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document.write( "m = (y2-y1)/(x2-x1) = (-6--1)/(2--3) = (-6+1)/(2+3) = -5/5 = -1\r<BR>\n" );
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document.write( "now there are two ways we can do this:\r<BR>\n" );
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document.write( "1) plug things into y = mx + b and solve for b and then get into y = mx + b or standard form.\r<BR>\n" );
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document.write( "we know that y = mx + b is the slope-intercept form of a line.  well we know y, m, and x so now we can solve the slope-intercept form for b.\r<BR>\n" );
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document.write( "y = mx + b let y = -6 and x = 2<BR>\n" );
document.write( "-6 = -1(2) + b<BR>\n" );
document.write( "-6 = -2 + b<BR>\n" );
document.write( "-4 = b\r<BR>\n" );
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document.write( "now we know the point slope form of the line: y = -1x-4 or y=-x-4<BR>\n" );
document.write( "if your teacher wants it in standard form we can write it that way by adding x to both sides you will get x + y = -4.  \r<BR>\n" );
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document.write( "2) use the point slope formula\r<BR>\n" );
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document.write( "y-y1 = m(x-x1) where x1 and y1 are points and m is the slope<BR>\n" );
document.write( "y --6 = -1(x-2)<BR>\n" );
document.write( "y +6 = -1(x-2)<BR>\n" );
document.write( "y +6 = -1x +2<BR>\n" );
document.write( "y = -1x + 2 - 6<BR>\n" );
document.write( "y = -1x -4<BR>\n" );
document.write( "y = -x -4\r<BR>\n" );
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document.write( "or in standard form you get x+y = -4\r<BR>\n" );
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document.write( "either way you get the same answer.  \r<BR>\n" );
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document.write( " </SPAN>\n" );
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