Question

Sendo f(x) = mx + b, f(-2) = 3 e f(4) =1, determine o valor de m.

Answer 1

f(x) = mx + b

f(-2) = -2m + b
-2m + b = 3

f(4) = 4m + b
4m + b = 1

Resolvendo o sistema:

-2m + b = 3  (.-1)
4m + b = 1 
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2m - b = -3
4m + b = 1
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6m = -2
m = -2/6
m = -1/3