document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1014394>Question 1014394</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose you graphed every single point of the form (2t + 3, 3-3t). For example, when t=2, we have 2t + 3 = 7 and 3-3t = -3, so (7,-3) is on the graph. Explain why the graph is a line, and find an equation whose graph is this line. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #630693 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=630693\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose you graphed every single point of the form (2t + 3, 3-3t). For example, when t=2, we have 2t + 3 = 7 and 3-3t = -3, so (7,-3) is on the graph. Explain why the graph is a line, and find an equation whose graph is this line. <BR>\n" );
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document.write( "And if t = -2, <BR>\n" );
document.write( "x = 2(-2)+3 = -1<BR>\n" );
document.write( "y = 3-3(-2) = 9<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "You now have two points::<BR>\n" );
document.write( "slope = (9--3)/(-1-7) = 12/-8 = -3/2<BR>\n" );
document.write( "Form is y = mx + b<BR>\n" );
document.write( "Solve for \"b\"::<BR>\n" );
document.write( "9 = (-3/2)(-1) = b<BR>\n" );
document.write( "b = 15/2<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Equation: y = (-3/2)x + 15/2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%28-3%2F2%29x%2B15%2F2%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%28-3%2F2%29x%2B15%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%28-3%2F2%29x%2B%2815%2F2%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%28-3%2F2%29x%2B%2815%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "===================<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "x = 2t+3, so t = (x-3)/2<BR>\n" );
document.write( "Since y = 3-3t, y = 3-3[(x-3)/2]<BR>\n" );
document.write( "Then y = 3 -(3/2)x +(9/2)<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "y = -(3/2)x + 15/2<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "----------<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );