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Use the data points (28, 3.1) and (10, 2.2) to find an equation of the line through these points.

 Oct 2, 2016
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Equation of a line is   y= mx + b    Where 'm' = slope     and  'b' = y-axis intercept (where x = 0)

 

First find slope    

m = rise/run  = ( y1-y2 ) / ( x1-x2)

m= (3.1-2.2)/ (28-10) = .9/18 = .05

 

So   y = .05 x + b      Use ONE of the ordered pairs to calculate 'b'

       3.1 = .05(28) + b    yields b = 1.7

 

So y = .05x + 1.7     is the line equation.   

 Oct 2, 2016

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