9
algebra

Which graph corresponds to y=x+2y = -x + 2?

A

Line falling from left to right, crossing y-axis at 2

B

Line rising from left to right, crossing y-axis at 2

C

Line falling from left to right, crossing y-axis at -2

D

Line rising from left to right, crossing y-axis at -2

Correct Answer: A

Choice A is the correct answer. Analyze slope and intercept.

  1. Slope: m=1m = -1 (Negative). The line must go down (fall) from left to right.
  2. Y-intercept: b=2b = 2. The line must cross the vertical axis at +2+2.

💡 Strategic Tip: Negative slope = Downhill. Positive slope = Uphill.

Choice B is incorrect because it has a positive slope. Choice C is incorrect because it has the wrong y-intercept. Choice D is incorrect because it has positive slope and wrong intercept.