document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=230419>Question 230419</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equations of the lines through the following pairs of points, in slope intercept form.<BR>\n" );
document.write( "(1) Find the equation of the line through (2,1), (&#8722;6,8).  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170627 by </B><A HREF=/tutors/aboutme.mpl?userid=texttutoring><B>texttutoring(324)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=texttutoring><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=texttutoring><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=170627\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First we need to find the slope of the line connecting those 2 points.\r<BR>\n" );
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document.write( "The formula for slope is:\r<BR>\n" );
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document.write( "m=(y2-y1)/(x2-x1)\r<BR>\n" );
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document.write( "In your question, x1=2,y1=1 and x2=-6,y2=8\r<BR>\n" );
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document.write( "m= (8-1)/(-6-2)<BR>\n" );
document.write( "m= 7/-8\r<BR>\n" );
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document.write( "Now we can use the equation of a line (y=mx+b) to find the y-intercept (b).\r<BR>\n" );
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document.write( "We can choose either point (2,1) or (-6,8) to plug in for x and y. I will choose (2,1) because it is easier.\r<BR>\n" );
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document.write( "y=mx+b<BR>\n" );
document.write( "1=(-7/8)*2+b<BR>\n" );
document.write( "1=-14/8 + b<BR>\n" );
document.write( "8/8+14/8=b<BR>\n" );
document.write( "b=22/8\r<BR>\n" );
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document.write( "In slope-intercept form, the equation of the line is:\r<BR>\n" );
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document.write( "y=(-7/8)x + 22/8 </SPAN>\n" );
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