2

Set 2: Linear Functions

Explanation

Answer: A

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

✓ Correct
B.

y=xy = x

C.

y=2xy = 2x

D.

y=x+2y = x + 2

Detailed Explanation

Choice A is correct. 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.

Key Steps:

The correct answer is y=x+4y = -x + 4

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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