Set 2: Linear Functions (Advanced)

Explanation

Answer: A

Write the equation of the line passing through $(1, 4)$ and $(3, 10)$ in slope-intercept form.

$y = 3x + 1$

✓ Correct

$y = 3x - 1$

$y = 2x + 2$

$y = 3x + 4$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Find slope, then intercept. 1. Slope: $m = \frac{10 - 4}{3 - 1} = \frac{6}{2} = 3$ . 2. Point-Slope: Use $(1, 4)$ . $y - 4 = 3(x - 1)$ . 3. Convert: $y - 4 = 3 x - 3 \rightarrow y = 3 x + 1$ . Strategic Tip: Check your answer by plugging in the second point: $10= 3(3) + 1$ . Correct. Choice B is incorrect because sign error. Choice C is incorrect because slope error. Choice D is incorrect because intercept error.

Key Steps:

•

The correct answer is $y = 3x + 1$

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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