Answer:
[tex]y=\frac{3}{4}x-\frac{3}{2}[/tex]
Step-by-step explanation:
We have been given the equation [tex]3x-4y=6[/tex]
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
[tex]-4y=-3x+6[/tex]
Now, we divide both sides by -4
[tex]y=\frac{-1}{4}(-3x+6)\\\\y=\frac{3}{4}x-\frac{6}{4}\\\\y=\frac{3}{4}x-\frac{3}{2}[/tex]
Last option is correct.
