Final answer:
To determine if y is a function of x in the equation 4x - 3y = 8, rearrange the equation and solve for y. The equation is a function if every x-value has a unique corresponding y-value. The correct option is 1.
Step-by-step explanation:
To determine if y is a function of x in the equation 4x - 3y = 8, we need to check if for every value of x, there is a unique value of y that satisfies the equation. If there is such a correspondence, then y is a function of x.
In this case, we can rearrange the equation to solve for y:
4x - 3y = 8
-3y = -4x + 8
y = (4/3)x - (8/3)
Since for every x-value, we have a unique corresponding y-value, y is indeed a function of x in this equation.
Therefore, Option 1) True is correct.