4

Set 8: Linear Functions (Advanced)

Explanation

Answer: A

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

A.

y=2x−1y = 2x - 1

✓ Correct
B.

y=x+5y = x + 5

C.

y=3xy = 3x

D.

y=−x+2y = -x + 2

Detailed Explanation

Choice A is correct. 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.

Key Steps:

•

The correct answer is y=2x−1y = 2x - 1

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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