9

Set 6: Linear Functions (Intermediate)

Explanation

Answer: A

Find the x-intercept of the line y=12x3y = \frac{1}{2}x - 3.

A.

66

✓ Correct
B.

3-3

C.

33

D.

6-6

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Set y=0y=0. 1. Substitute: 0=12x30= \frac{1}{2}x - 3. 2. Add 3: 3=12x3= \frac{1}{2}x. 3. Multiply by 2: 6=x6= x. Strategic Tip: To clear the fraction, multiply the entire equation by the denominator. Choice B is incorrect because it is the y-intercept. Choice C is incorrect because it misses the multiplication step. Choice D is incorrect because of sign error.

Key Steps:

The correct answer is 66

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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