Question

why is f(x)=2-x/11 linear?

Answer 1

Yes.

Answer 2

it has slope as well as y int.

Answer 3

Because the highest power of x is one. You have:
\[f(x)=2-\frac{1}{11}x\]
So x is to the first power (implied).

Answer 4

the power of x is one

Answer 5

hmm because x has the power of 1
I am not sure though if that;s the proper reason

Answer 6

if degree of a polynomial is equal to 1 or less than 1, then it is linear.
a polynomial is in the form
\[f(x)=a_0+a_1x+a_2x^2+a_3x^3+....+a_nx^n\]
n is in integer >=0

so anyways if \[f=a_0+a_1x\] then f is linear
and \[a_0, a_1\] can be any real number

also x=c is consider linear as well since it is in fact a line

examples of lines:

examples of curves that are not lines: