9
algebra

Two cars drive on parallel roads. Car A's path is y=50xy = 50x. Car B starts 10 miles north. What is Car B's path?

A

y=50x+10y = 50x + 10

B

y=50x10y = 50x - 10

C

y=60xy = 60x

D

y=10x+50y = 10x + 50

Correct Answer: A

Choice A is the correct answer. Parallel means same slope.

  1. Slope: 5050 (Speed/Direction).
  2. Intercept: Starts 10 miles "north" (positive y) +10\rightarrow +10.
  3. Equation: y=50x+10y = 50x + 10.

💡 Strategic Tip: "North" usually implies positive y-direction.

Choice B is incorrect because south. Choice C is incorrect because different speed. Choice D is incorrect because swapped.