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Set 8: Linear Functions (Advanced)

Explanation

Answer: A

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

A.

−23-\frac{2}{3}

✓ Correct
B.

23\frac{2}{3}

C.

32\frac{3}{2}

D.

−32-\frac{3}{2}

Detailed Explanation

Choice A is correct. 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=−2x→y=−2/3x3y = -2 x \rightarrow y = -2/3 x. Choice B is incorrect because sign error. Choice C is incorrect because reciprocal error. Choice D is incorrect because reciprocal and sign error.

Key Steps:

•

The correct answer is −23-\frac{2}{3}

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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