Answer :

Answer:

The answer to your question is f(x) = x + 4

Step-by-step explanation:

Data

A (-3, 1)

B (-2, 2)

C (-1, 3)

D (0, 4)

Process

1.- Find the slope

m = (y2 - y1) / (x2 - x1)

- Substitution

m = (2 - 1) / (-2 + 3)

Simplification

m = 1/1

Result

m = 1

2.- Find the equation of the line

     y - y1 = m(x - x1)

Use point A (-3 , 1)

     y - 1 = 1(x + 3)

Simplification

    y - 1 = x + 3

Result

   y =x + 3 + 1

   y = x + 4

 y = f(x) = x + 4              

Answer:

f(x) = x - 4 is the correct answer

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