Consider the following for the two (02) items that follow: Let f = (1, 1), (2, 4), (3, 7), (4, 10) . If f(x) = px + q , then what is the value of (p + q) ?

Step-by-step solution

Given f(x) = px + q . From the given set of points, we have f(1) = 1 . Substituting x = 1 in the function, we get: p(1) + q = 1 p + q = 1 Alternatively, using f(2) = 4 , we get 2p + q = 4 . Solving p + q = 1 and 2p + q = 4 gives p = 3 and q = -2 . Thus, p + q = 3 - 2 = 1 . Answer: 1