The linear function is in the form of
.
Here
represents the slope of the function and
represents the
-intecept.
Consider
then 
A linear function is said to be odd then
.

The linear function
is odd when the value of
-intecept is
.
The linear function is odd when
-intecept is
.
When the linear function is even then
.

The linear function is odd when slope of the function is
.
The linear function
is odd when the value of
-intecept is
.
Yes, the linear function is
is even when the value of the slope
.