Question

F(2)=-2 and f(1)=1 write a linear function

Answer 1

Answer:

$f(x) = -3x+4$

Step-by-step explanation:

We can use the form $y=mx+b$ to find the linear function.

From $f(2)=-2$ , we can write:

$-2=2m+b$

From $f(1)=1$ , we can write:

$1=m+b$

To find for $m$, we can substract the second equation from the first:

$2m+b-(m+b) = -2-1$

$2m+b-m-b=-3$

$m=-3$

To find for $b$, we can use substitution:

$1 = m+b$

$1 = -3+b$

$b=4$

∴ $f(x) = -3x+4$ is the linear function.

Hope this helps :)