document.write( "Question 1126550: I know that the table represents a linear function, but I'm having difficulty coming up the linear equation that models the data.\r
\n" ); document.write( "\n" ); document.write( "x: 0 5 10 15
\n" ); document.write( "f(x): -6 9 24 39\r
\n" ); document.write( "\n" ); document.write( "My answers so far have been: -3x+5, 3x+5, 5x+3, and 5x+ 15.
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Algebra.Com's Answer #742862 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
looks like the slope is 3.\r
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\n" ); document.write( "\n" ); document.write( "change in y divided by change in x = 15/5 = 3\r
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\n" ); document.write( "\n" ); document.write( "y-intercept is -6 (value of y when value of x is equal to 0.\r
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\n" ); document.write( "\n" ); document.write( "equation should be y = 3x - 6\r
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\n" ); document.write( "\n" ); document.write( "when x = 0, y = -6
\n" ); document.write( "when x = 5, y = 15 - 6 = 9
\n" ); document.write( "when x = 10, y = 30 - 6 = 24
\n" ); document.write( "when x = 15, y = 45 - 6 = 39\r
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\n" ); document.write( "\n" ); document.write( "that's your solution.\r
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\n" ); document.write( "\n" ); document.write( "slope intercept form of the equation of a straight line is y = mx + b\r
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\n" ); document.write( "\n" ); document.write( "m is the slope
\n" ); document.write( "b is the y-intercept\r
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\n" ); document.write( "\n" ); document.write( "slope is change in y / change in x.\r
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\n" ); document.write( "\n" ); document.write( "your data fits the equation of y = 3x - 6.\r
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\n" ); document.write( "\n" ); document.write( "here's a graph of the equation.\r
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