Answer:
y = 3 - 2x
Step-by-step explanation:
The function y = f(x) passes through the points (1,1) and (2,-1).
So, any two known points satisfying a linear function are sufficient to determine the function equation.
From the two points form of straight line we can write,
[tex]\frac{y - 1}{1 - (- 1)} = \frac{x - 1}{1 - 2}[/tex]
⇒ y - 1 = 2(1 - x)
⇒ y - 1 = 2 - 2x
⇒ y = 3 - 2x
Therefore, this is the equation of the linear function. (Answer)
