Set 4: Linear Functions (Advanced)

Explanation

Answer: A

Convert $y - 2 = \frac{1}{3}(x - 6)$ to slope-intercept form.

$y = \frac{1}{3}x$

✓ Correct

$y = \frac{1}{3}x - 4$

$y = \frac{1}{3}x + 4$

$y = \frac{1}{3}x - 2$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Distribute and simplify. 1. Distribute: $y - 2 = \frac{1}{3}x - 2$ . 2. Add 2: $y = \frac{1}{3}x - 2 + 2$ . 3. Result: $y = \frac{1}{3}x$ . Strategic Tip: If the constant terms cancel out, the line passes through the origin. Choice B is incorrect because it results from an error in the solution process. Choice C is incorrect because it results from an error in the solution process. Choice D is incorrect because forgot to add 2.

Key Steps:

•

The correct answer is $y = \frac{1}{3}x$

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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