document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=452265>Question 452265</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the line containing the given pair points.\r<BR>\n" );
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document.write( "(-3,-8) and (-9,-5)\r<BR>\n" );
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document.write( "the equation of the line in slope-intercept form is y =____________<BR>\n" );
document.write( "(Simplify your answer. Use integers or fractions for any numbers in the expression) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #310911 by </B><A HREF=/tutors/aboutme.mpl?userid=confusedgirl81><B>confusedgirl81(14)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=confusedgirl81><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=confusedgirl81><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=310911\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First we have to find the slope of a line by using the two given points.<BR>\n" );
document.write( "  x1 y1      x2  y2<BR>\n" );
document.write( "(-3,-8) and (-9,-5)\r<BR>\n" );
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document.write( "m = y2-y1/x2-x1\r<BR>\n" );
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document.write( "-5-(-8)/-9 - (-3)  {substitute y2,y1,and x2,x1}<BR>\n" );
document.write( "-5+8/-9+3 <BR>\n" );
document.write( "3/-6  {simplify}<BR>\n" );
document.write( "-1/2\r<BR>\n" );
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document.write( "so m = -1/2\r<BR>\n" );
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document.write( "Now we will use the point slope form to find the equation of a line.\r<BR>\n" );
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document.write( "You can use either one of the points already given. I will use the first point. (-3,-8).\r<BR>\n" );
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document.write( "y-y1=m(x-x1) {point slope form}<BR>\n" );
document.write( "y-(-8) = (-1/2)(x-(-3))  {substitute m,x1,and y1}<BR>\n" );
document.write( "y + 8 = -1/2x - 3/2  {subtract 8 from both sides}<BR>\n" );
document.write( "y = -1/2x - 3/2 -8  {simplify -3/2-8}<BR>\n" );
document.write( "y = -1/2x - 9/2\r<BR>\n" );
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document.write( "You can check my take the point slope form and using the other point (-9,-5). You will still end up with the same answer.\r<BR>\n" );
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document.write( "So y = -1/2x -9/2 is the equation of the line with a slope of -1/2x that passes through the points (-3,-8) and (-9,-5).\r<BR>\n" );
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document.write( "If you need more help, just ask!<BR>\n" );
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