Set 2: Linear Equations (Advanced)

Explanation

Answer: C

Which equation represents a line with slope 3 passing through (1, 5)?

y = 3x - 2

y = x + 4

y = 3x + 2

✓ Correct

y = 3x + 5

Detailed Explanation

Choice C is correct. Choice C is the correct answer. 1. Form: $y = mx + b \rightarrow y = 3 x + b$ 2. Plug in (1, 5): $5= 3(1) + b$ 3. Solve for b: $5= 3 + b \rightarrow b = 2$ 4. Equation: $y = 3 x + 2$ Choice C is incorrect because intercept is wrong. Choice D is incorrect because intercept is wrong. Choice A is incorrect because slope is wrong.

Key Steps:

•

The correct answer is y = 3x + 2

Why others are wrong:

A: Choice A is incorrect and may result from a calculation error.

B: Choice B 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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