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help me solve this pls

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help me solve this pls
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f(x) = mx + b

f(1) = m + b

f(0) = b

(f(1))^2 - (f(0))^2 = 0

Gives

(m + b)^2 - b^2 = 0

Solving this gives

m = 0 or m = -2b
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