7
algebra

Two lines intersect at (3,5)(3, 5). If one line is y=x+2y = x + 2, which could be the other?

A

y=2x1y = 2x - 1

B

y=x+5y = x + 5

C

y=3xy = 3x

D

y=x+2y = -x + 2

Correct Answer: A

Choice A is the correct answer. Test point (3,5)(3, 5).

  1. Check A: 5=2(3)1=55 = 2(3) - 1 = 5. (True).
  2. Check B: 5=3+5=85 = 3 + 5 = 8 (False).
  3. Check C: 5=3(3)=95 = 3(3) = 9 (False).
  4. Check D: 5=3+2=15 = -3 + 2 = -1 (False).

💡 Strategic Tip: The intersection point must satisfy BOTH equations.

Choice B is incorrect.Choice C is incorrect.Choice D is incorrect.