9
algebra

If two lines intersect at (2,2)(2, 2) and one passes through (0,0)(0, 0), what could be the equation of the other line?

A

y=x+4y = -x + 4

B

y=xy = x

C

y=2xy = 2x

D

y=x+2y = x + 2

Correct Answer: A

Choice A is the correct answer. Check if (2,2)(2, 2) is on the line.

  1. Line 1: Passes through (0,0)(0,0) and (2,2)(2,2) is y=xy=x. The "other" line must be different.
  2. Check A: 2=2+42 = -2 + 4 (True).
  3. Check B: y=xy=x is the first line.
  4. Check C: 2=2(2)2 = 2(2) (False).
  5. Check D: 2=2+22 = 2 + 2 (False).

💡 Strategic Tip: Plug the intersection point into the options.

Choice B is incorrect because it's the same line. Choice C is incorrect.Choice D is incorrect.