document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=151489>Question 151489</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534386172/algebrahomeworkh>college algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Thank you in advance for your help with problem.  I need to find 3 coordinates of 3 other points with this info.  (5,-1) and the slope of m=-2/3.  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 #111368 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=111368\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need to find 3 coordinates of 3 other points with this info.  (5,-1) and the slope of m=-2/3.<BR>\n" );
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document.write( "Remember the \"slope-intercept\" form of a line is:<BR>\n" );
document.write( "y = mx + b<BR>\n" );
document.write( "where<BR>\n" );
document.write( "m is the slope<BR>\n" );
document.write( "b is the y-intercept at (0,b)<BR>\n" );
document.write( "x is the x-coordinate<BR>\n" );
document.write( "y is the y-coordinate<BR>\n" );
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document.write( "For your problem, they give you:<BR>\n" );
document.write( "a point on the line at (5,-1)<BR>\n" );
document.write( "and, the slope of -2/3<BR>\n" );
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document.write( "Strategy is the following:<BR>\n" );
document.write( "1. find the equation of the line given the two pieces of info above<BR>\n" );
document.write( "2. then, find three additional points on that line from the equation<BR>\n" );
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document.write( "#1: plug in what we know into the \"slope-intercept\" form and solve for b:<BR>\n" );
document.write( "y = mx + b<BR>\n" );
document.write( "-1 = (-2/3)(5) + b<BR>\n" );
document.write( "-1 = (-10/3) + b<BR>\n" );
document.write( "-3 = -10 + 3b<BR>\n" );
document.write( "7 = 3b<BR>\n" );
document.write( "7/3 = b<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now, we know the equation of the line is:<BR>\n" );
document.write( "y = (-2/3)x + (7/3)<BR>\n" );
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document.write( "#2: find three other points on that line<BR>\n" );
document.write( "How about if we pick the three points at:<BR>\n" );
document.write( "x=0<BR>\n" );
document.write( "x=1<BR>\n" );
document.write( "x=3<BR>\n" );
document.write( ".<BR>\n" );
document.write( "plug each into our equation and solve for y:<BR>\n" );
document.write( "when x=0<BR>\n" );
document.write( "y = (-2/3)x + (7/3)<BR>\n" );
document.write( "y = (-2/3)0 + (7/3)<BR>\n" );
document.write( "y = 7/3<BR>\n" );
document.write( "point 1: (0, 7/3)<BR>\n" );
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document.write( "when x=1<BR>\n" );
document.write( "y = (-2/3)1 + (7/3)<BR>\n" );
document.write( "y = (-2/3) + (7/3)<BR>\n" );
document.write( "y = 5/3<BR>\n" );
document.write( "point 2: (1, 5/3)<BR>\n" );
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document.write( "when x=3<BR>\n" );
document.write( "y = (-2/3)3 + (7/3)<BR>\n" );
document.write( "y = -2 + 7/3<BR>\n" );
document.write( "y = -6/3 + 7/3<BR>\n" );
document.write( "y = 1/3<BR>\n" );
document.write( "point 3: (3, 1/3)\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );