We are given the parametric equations x = 4t and y = 3t - 7. To eliminate the parameter, t, we solve one of the equations for t and then substitute that in the other equation.
Let's choose to substitute from the equation x = 4t. If we solve this for t we get t = x/4.
Now, we can substitute x/4 to t in the y equation. The y equation becomes y = 3*(x/4) - 7 which simplifies to y = (3/4)x - 7.
Looking at the choices, this equation is answer choice B (y= (3/4)x - 7), which matches exactly with the answer we derived.
Answer: B) y= (3/4)x • -7