7

Set 16: Linear Functions (Intermediate)

Explanation

Answer: A

Which equation represents a line with slope 1 passing through (0,1)(0, -1)?

A.

y=x1y = x - 1

✓ Correct
B.

y=x+1y = x + 1

C.

y=x1y = -x - 1

D.

y=x+1y = -x + 1

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Slope-intercept form. 1. Slope: m=1m = 1. 2. Intercept: b=1b = -1. 3. Equation: y=1x1y=x1y = 1 x - 1 \rightarrow y = x - 1. Strategic Tip: Direct substitution. Choice B is incorrect because sign error. Choice C is incorrect because slope error. Choice D is incorrect because slope error.

Key Steps:

The correct answer is y=x1y = x - 1

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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