Set 12: Linear Functions

Explanation

Answer: A

A line has a slope of 1/2. If the x-intercept is increased by 4, how does the y-intercept change?

Decreases by 2

✓ Correct

Increases by 2

Increases by 4

Decreases by 4

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Analyze relationship. 1. Relation: $b = -m \times x_{int}$ . 2. Original: $b_1 = -0.5 x_1$ . 3. New: $b_2 = -0.5 (x_1 + 4) = -0.5 x_1 - 2$ . 4. Change: $b_2 - b_1 = -2$ . Strategic Tip: Or visualize: Shifting the line right (increasing x-int) pushes the y-intercept down if slope is positive. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is Decreases by 2

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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