7
algebra

Which equation represents a line with slope 23\frac{2}{3} passing through (−3,−1)(-3, -1)?

A

y+1=23(x+3)y + 1 = \frac{2}{3}(x + 3)

B

y−1=23(x−3)y - 1 = \frac{2}{3}(x - 3)

C

y+1=23(x−3)y + 1 = \frac{2}{3}(x - 3)

D

y−1=23(x+3)y - 1 = \frac{2}{3}(x + 3)

Correct Answer: A

Choice A is the correct answer. Point-slope form.

  1. Formula: y−y1=m(x−x1)y - y_1 = m(x - x_1).
  2. Substitute: y−(−1)=23(x−(−3))y - (-1) = \frac{2}{3}(x - (-3)).
  3. Simplify: y+1=23(x+3)y + 1 = \frac{2}{3}(x + 3).

💡 Strategic Tip: Signs are opposite to coordinates.

Choice B is incorrect because signs are wrong. Choice C is incorrect because x-sign is wrong. Choice D is incorrect because y-sign is wrong.

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Linear Functions Set 88