Set 15: Linear Functions

Explanation

Answer: A

Find the x-intercept of the line passing through $(2, 4)$ and $(4, 8)$ .

$0$

✓ Correct

$2$

$-2$

$4$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Find equation first. 1. Slope: $\frac{8-4}{4-2} = 2$ . 2. Equation: $y - 4 = 2(x - 2) \rightarrow y = 2 x - 4 + 4 \rightarrow y = 2 x$ . 3. Intercept: Passes through origin $(0, 0)$ . x-intercept is 0. Strategic Tip: $y=2 x$ has $b=0$ , so x-intercept is also 0. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is $0$

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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