First, we want to solve for b.
In order to solve for b, we plug in x=6 and f(x)=7 into the equation, since we know f(6)=7
7 = (3/2)(6) + b
7 = 9 + b
Subtract both sides by 9
b = -2
Now, let's insert this value into the equation
f(x) = (3/2)x - 2
Now, plug in x = -2 into the equation to calculate f(-2)
f(-2) = (3/2)(-2) - 2
= -3 -2
= -5
Thus, your answer is A.
Have an awesome day! :)