Concept: The question tests on Functions and Graphs
Solution:
If the slope of the graph of the linear function is -2, then the linear function f(x) = -2x + c, where c is the y intercept.
Also given that f(-6) = -2
Putting x = -6, we get -2 = (-2 * *-6) + c
c = -2 - 12 = -14
Therefore f(x) = -2x - 14
From The Options
Option A: f(-10) = (-2 * *-10) - 14 = +6. This is not equal to -6.
Option B: f(-6) = -2 as is given in the problem.
Option C: f(-8) = (-2 * *-8) - 14 = +2. This is correct
Option D: f(6) = (-2 * *6) - 14 = -26. This is not equal to +2
Option E: f(8) = (-2 * *8) - 14 = -30. This is not equal to +4
Option C