2
algebra

Find the slope of a line perpendicular to y=12x+4y = -\frac{1}{2}x + 4.

A

22

B

2-2

C

12\frac{1}{2}

D

12-\frac{1}{2}

Correct Answer: A

Choice A is the correct answer. Perpendicular lines have negative reciprocal slopes.

  1. Original Slope: m=12m = -\frac{1}{2}.
  2. Negative Reciprocal: Flip the fraction (2/12/1) and change the sign (++).
  3. Result: 22.

💡 Strategic Tip: The product of perpendicular slopes is -1. (1/2)×2=1(-1/2) \times 2 = -1.

Choice B is incorrect because it only flips the fraction. Choice C is incorrect because it only changes the sign. Choice D is incorrect because it is the same slope (parallel).