Find the constants m and b in the linear function f(x)=mx+b so that f(0)=5 and f(3)=-4

Given, f(x) = mx + b ----------- (A) (i) f(0) = m*0 + b = 5 => b = 5 --------------- (1) (ii) f(3) = m*3 + b = 3m + 2 = - 4 => 3m = - 1 - 2 = - 6 => m = - 6/3 = - 2 ------------ (2) Hence, f(x) = - x + 2

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