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SociometricStar

Answer:

\(y=\frac{3}{4}x-\frac{3}{2}\)

Step-by-step explanation:

We have been given the equation \(3x-4y=6\)

The given choices are the values of y in terms of x. Hence, we solve the equation for y.

Subtract 3x to both sides of the equation

\(-4y=-3x+6\)

Now, we divide both sides by -4

\(y=\frac{-1}{4}(-3x+6)\\\\y=\frac{3}{4}x-\frac{6}{4}\\\\y=\frac{3}{4}x-\frac{3}{2}\)

Last option is correct.