Final answer:
The equivalent equation to 3x - 4y = 6 is y = (3/4)x - 3/2.
Step-by-step explanation:
To determine which equation is equivalent to 3x - 4y = 6, we need to manipulate the equation to isolate y. First, move the 3x term to the right side of the equation by subtracting 3x from both sides:
-4y = -3x + 6
Next, divide every term by -4 to solve for y:
y = (-3x + 6) / -4
Simplify the equation:
y = (3/4)x - 3/2
Therefore, the equivalent equation is y = (3/4)x - 3/2