4
algebra

Which equation represents the line passing through (2,3)(2, 3) with a slope of -1?

A

x+y=5x + y = 5

B

x−y=−1x - y = -1

C

x+y=1x + y = 1

D

−x+y=1-x + y = 1

Correct Answer: A

Choice A is the correct answer. Point-slope to Standard.

  1. Point-Slope: y−3=−1(x−2)y - 3 = -1(x - 2).
  2. Distribute: y−3=−x+2y - 3 = -x + 2.
  3. Rearrange: Add xx and add 3 →x+y=5\rightarrow x + y = 5.

💡 Strategic Tip: If slope is -1, the sum x+yx+y is constant. 2+3=52+3=5.

Choice B is incorrect because slope is 1. Choice C is incorrect because sum is 1. Choice D is incorrect because slope is 1.

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Linear Functions Set 88