Question

If f is a linear function for which

f(3) = 2
and
f(−3) = 14,
find
f(9).

Answer 1

Explanation:

slope of linear function = (f(-3)-f(3))/(-3-3) = (14-3)/(-6) = -11/6

Equation for line of slope -11/6 that passes through (3,2):

y-2 = (-11/6)(x-3)

y = (-11/6)x + 15/2

When x=9, f(x) = (-11/6)9 + 15/2 = -9