The table shows a linear function. which equation represents the function? f(x)=2x+1 f(x)=3/4x−1 f(x)=−x+3/2 f(x)=3/2x−1

The equation of the linear function:  f(x) = mx + b
for x = 0 we have f(0) = m(0) + b = b
In the table: f(0) = -1, then b = -1, therefore answer is f(x) = 3/4x - 1 or f(x) = 3/2x - 1
Calculate the value of the function for x = 4:
f(x) = 3/4x - 1f(4) = 3/4 · 4 - 1 = 3 - 1 = 2 ≠ 5  WRONG
f(x) = 3/2x - 1f(4) = 3/2 · 4 - 1 = 3 · 2 - 1 = 6 - 1 = 5  CORRECT
Your answer is:   y = 3/2x - 1