4
algebra

Find the slope of the line 2x+3y=02x + 3y = 0.

A

23-\frac{2}{3}

B

23\frac{2}{3}

C

32\frac{3}{2}

D

32-\frac{3}{2}

Correct Answer: A

Choice A is the correct answer. Use A/B-A/B.

  1. Identify: A=2,B=3A=2, B=3.
  2. Formula: m=A/Bm = -A/B.
  3. Result: 2/3-2/3.

💡 Strategic Tip: Or isolate yy: 3y=2xy=2/3x3y = -2x \rightarrow y = -2/3x.

Choice B is incorrect because sign error. Choice C is incorrect because reciprocal error. Choice D is incorrect because reciprocal and sign error.