Answer:
B. y = -4x - 4
Explanation:
you can solve this problem by plugging values from the table into the equations given to determine which equation works
A. y = 1/4x + 4
lets plug in -1 for x
y = 1/4(-1) + 4
y = -1/4 + 4
y = 3 3/4
3 3/4 is not equal to 0, so option A is wrong
B. y = -4x - 4
plug in 0 for x
y = -4(0) - 4
y = 0 - 4
y = -4
-4 is equal to -4 which is true, option B works, but lets test another value
plug in 1 for x
y = -4(1) - 4
y = -4 - 4
y = -8
-8 is equal to -8
so option B is correct
C. y = -1/4x + 4
plug in 1 for x
y = -1/4(1) + 4
y = -1/4 + 4
y = 3 3/4
3 3/4 does not equal to 8, option C does not work
D. y = 4x - 4
plug in 0 for x
y = 4(0) - 4
y = 0 - 4
y = -4
-4 is equal to -4 which is true, option D works, test another value as well
plug in 1 for x
y = 4(1) - 4
y = 4 - 4
y = 0
0 is not equal to -8 thus option D does not work for all values