9
algebra

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

A

Decreases by 2

B

Increases by 2

C

Increases by 4

D

Decreases by 4

Correct Answer: A

Choice A is the correct answer. Analyze relationship.

  1. Relation: b=−m×xintb = -m \times x_{int}.
  2. Original: b1=−0.5x1b_1 = -0.5 x_1.
  3. New: b2=−0.5(x1+4)=−0.5x1−2b_2 = -0.5 (x_1 + 4) = -0.5x_1 - 2.
  4. Change: b2−b1=−2b_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.

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Linear Functions Set 100