6
algebra

What is the slope of the line passing through the origin and (4,2)(-4, -2)?

A

12\frac{1}{2}

B

22

C

12-\frac{1}{2}

D

2-2

Correct Answer: A

Choice A is the correct answer. Origin is (0,0)(0, 0).

  1. Points: (0,0)(0, 0) and (4,2)(-4, -2).
  2. Slope: 2040=24=12\frac{-2 - 0}{-4 - 0} = \frac{-2}{-4} = \frac{1}{2}.

💡 Strategic Tip: Negative divided by negative is positive.

Choice B is incorrect because it flips rise/run. Choice C is incorrect because sign error. Choice D is incorrect because sign and flip error.