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If the graph of the line $y = ax + b$ passes through the points $(4,5)$ and $(8,17)$, what is $a - b$?

 Jun 9, 2021
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Slope = (8 - 4)/(17 - 5) = 4/12 = 1/3

 

Point-slope form: y - 5 = 1/3*(x - 4) = 1/3*x - 4/3

==> y = 1/3*x + 11/3

a - b = 1/3 - 11/3 = -10/3

 Jun 9, 2021

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