document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1025728>Question 1025728</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a formula for the linear function g(x) where g(5)=75 and g(30)=25 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #641031 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=641031\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a linear function will have an equation of y = mx + b\r<BR>\n" );
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document.write( "m is the slope<BR>\n" );
document.write( "b is the y-intercept.\r<BR>\n" );
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document.write( "the slope is equal to the change in y divided by the change in x.\r<BR>\n" );
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document.write( "make y = g(x) and you get:\r<BR>\n" );
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document.write( "y = 75 when x is 5 and y = 25 when x is 30.\r<BR>\n" );
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document.write( "this says that y goes down 50 when x goes up 25.\r<BR>\n" );
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document.write( "slope is therefore -50 / 25 = -2.\r<BR>\n" );
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document.write( "your general equation of y = mx + b becomes y = 2x + b\r<BR>\n" );
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document.write( "replace one of your points with their values and you can solve for b.\r<BR>\n" );
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document.write( "when x = 5, y = 75 gets you 75 = -2*5 + b\r<BR>\n" );
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document.write( "solve for b to get b = 75 + 10 = 85\r<BR>\n" );
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document.write( "your equation becopmes y = -2x + 85\r<BR>\n" );
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document.write( "when x = 5, y = -10 + 85 = 75\r<BR>\n" );
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document.write( "when x = 30, y = -60 + 85 = 25\r<BR>\n" );
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document.write( "looks like the equation is good.\r<BR>\n" );
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document.write( "the graph of this equation looks like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2016/031903.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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