Answer:
B
Explanation:
One approach is to plug (2, -2) to every function and only B will work.
Choice A) y = 3x + 4
-2 = 3(2) + 4
-2 = 10
Does not work
Choice B) y = -3x + 4
-2 = -3(2) + 4
-2 = -2
Works
Choice C) y = -1/3x + 4
-2 = -1/3(2) + 4
-2 = -2/3 + 4
-2 = -2/3 + 12/3
-2 = 10/3
Does not work
Choice A) y = 4x - 3
-2 = 4(2) - 3
-2 = 5
Does not work
You can also just take a look at the function and see that its slope is downwards so it has to be negative. Then check the slope using rise/run.
For every 1 to the right it goes down 3, so -3/1 = -3. The only function with a slope of -3 is answer choice B.