Set 12: Linear Functions

Explanation

Answer: A

A line has slope $k$ and x-intercept $k$ . What is its y-intercept?

$-k^2$

✓ Correct

$k^2$

$k$

$-k$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Use point-slope. 1. Point: $(k, 0)$ . 2. Slope: $k$ . 3. Equation: $y - 0 = k(x - k) \rightarrow y = kx - k^2$ . 4. Y-intercept: The constant term is $-k^2$ . Strategic Tip: Substitute $x=0$ into the equation. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is $-k^2$

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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