9

Set 15: Linear Functions (Intermediate)

Explanation

Answer: A

Find the slope of the line 3x+y=03x + y = 0.

A.

3-3

✓ Correct
B.

33

C.

13\frac{1}{3}

D.

00

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Rewrite in slope-intercept form. 1. Isolate y: Subtract 3x3x from both sides. 2. Equation: y=3xy = -3 x. 3. Slope: The coefficient of xx is 3-3. Strategic Tip: For Ax+By=CAx + By = C, the slope is always A/B-A/B. Here 3/1=3-3/1 = -3. Choice B is incorrect because it misses the sign change. Choice C is incorrect because it flips the fraction. Choice D is incorrect because it confuses the intercept (0) with the slope.

Key Steps:

The correct answer is 3-3

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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