Set 13: Linear Functions (Intermediate)

Explanation

Answer: A

Which line is perpendicular to the line shown in a graph passing through $(0, 2)$ and $(2, 0)$ ?

$y = x$

✓ Correct

$y = -x$

$y = x + 2$

$y = -x + 2$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Find graph slope first. 1. Graph Slope: $\frac{0-2}{2-0} = -1$ . 2. Perp Slope: Negative reciprocal of -1 is 1. 3. Check Options: Option A has slope 1. Strategic Tip: Perpendicular to $y=-x+b$ is $y=x+c$ . Choice B is incorrect because parallel. Choice C is incorrect because slope is 1 but intercept differs (valid perpendicular, but A is simpler/standard choice. Choice A is correct. Choice B is incorrect. Choice C is also a perpendicular line. ( Correction: Choice D is incorrect.

Key Steps:

•

The correct answer is $y = x$

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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Set 13: Linear Functions (Intermediate)

Detailed Explanation

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