7
algebra

Which equation is equivalent to 2x+3y=62x + 3y = 6?

A

y=−23x+2y = -\frac{2}{3}x + 2

B

y=23x+2y = \frac{2}{3}x + 2

C

y=−23x+6y = -\frac{2}{3}x + 6

D

y=32x+2y = \frac{3}{2}x + 2

Correct Answer: A

Choice A is the correct answer. Solve for y.

  1. Subtract 2x: 3y=−2x+63y = -2x + 6.
  2. Divide by 3: y=−23x+2y = -\frac{2}{3}x + 2.

💡 Strategic Tip: Slope is −A/B=−2/3-A/B = -2/3. Intercept is C/B=6/3=2C/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.

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Linear Functions Set 90