6

Set 10: Linear Functions (Advanced)

Explanation

Answer: A

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

A.

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

✓ Correct
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

Detailed Explanation

Choice A is correct. 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.

Key Steps:

•

The correct answer is Line falling from left to right, crossing y-axis at 2

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.
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