Final answer:
To find an equation representing the new road parallel to the train tracks, we need to find the slope of the road. Since the road is parallel to the train tracks, it will have the same slope. The equation of the new road is y = 2x - 8.
Step-by-step explanation:
To find an equation representing the new road, we need to find the slope of the road. Since the road is parallel to the train tracks, it will have the same slope. The equation of the train tracks is y = 2x. Therefore, the equation of the new road is y = 2x + b, where b is the y-intercept.
To find the value of b, we can substitute the coordinates of point V(3, -2) into the equation. -2 = 2(3) + b. Solving for b, we get b = -8.
Therefore, the equation of the line representing the new road is y = 2x - 8.