Set 3: Linear Functions (Advanced)

Explanation

Answer: A

Which equation is equivalent to $2x + 3y = 6$ ?

$y = -\frac{2}{3}x + 2$

✓ Correct

$y = \frac{2}{3}x + 2$

$y = -\frac{2}{3}x + 6$

$y = \frac{3}{2}x + 2$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Solve for y. 1. Subtract 2 x: $3y = -2 x + 6$ . 2. Divide by 3: $y = -\frac{2}{3}x + 2$ . Strategic Tip: Slope is $-A/B = -2/3$ . Intercept is $C/B = 6/3 = 2$ . Choice B is incorrect because sign error. Choice C is incorrect because division error. Choice D is incorrect because reciprocal error.

Key Steps:

•

The correct answer is $y = -\frac{2}{3}x + 2$

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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