If f ( x ) is a linear function, f ( − 2 ) = 3 , and f ( 1 ) = 0 , find an equation for f ( x ).

Step-by-step explanation:

Here f (x) is a linear function.

That is

           f(x) =  ax + b

Given that  f (−2) = 3 , and f (1) = 0

            f(-2) =  a x -2 + b    

             -2a + b = 3 eqn 1

             f(1) =  a x1 + b    

             -a + b = 0 eqn 2

eqn 1 - eqn 2

            -2a - (-a) = 3 - 0

               -a = 3

                  a = -3

Substituting in eqn 2

           -(-3) + b = 0

                  b = -3

             f(x) =  -3x + (-3)

              f(x) = -3x - 3

Equation for f(x) is -3x - 3

2

step-by-2step explanation: