6
algebra

Write the equation of the line with slope 3 passing through (−1,−2)(-1, -2) in point-slope form.

A

y+2=3(x+1)y + 2 = 3(x + 1)

B

y−2=3(x−1)y - 2 = 3(x - 1)

C

y+2=3(x−1)y + 2 = 3(x - 1)

D

y−2=3(x+1)y - 2 = 3(x + 1)

Correct Answer: A

Choice A is the correct answer. Substitute.

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

💡 Strategic Tip: Minus a negative is a plus.

Choice B is incorrect because sign error. Choice C is incorrect because x-sign error. Choice D is incorrect because y-sign error.

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Linear Functions Set 90