9

Set 1: Linear Functions

Explanation

Answer: A

Which linear function has the largest y-intercept?

A.

y=5x+10y = -5x + 10

✓ Correct
B.

y=2x+8y = 2x + 8

C.

2y=4x+122y = 4x + 12

D.

A line passing through (0,5)(0, 5) and (1,6)(1, 6)

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Identify intercepts. 1. A: b=10b = 10. 2. B: b=8b = 8. 3. C: Divide by 2 y=2x+6\rightarrow y = 2 x + 6. b=6b = 6. 4. D: Passes through (0,5)(0, 5), so b=5b = 5. 5. Max: 10 is the largest. Strategic Tip: Convert all to y=mx+by=mx+b form first. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

The correct answer is y=5x+10y = -5x + 10

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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