Set 3: Linear Functions (Advanced)

Explanation

Answer: A

Which of the following lines does NOT form a triangle with the x-axis and y-axis?

$y = 2x$

✓ Correct

$y = 2x + 1$

$x + y = 5$

$y = -3x + 6$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Passes through origin. 1. Condition: To form a triangle with axes, the line must NOT pass through the origin (where axes meet). 2. Check A: $y=2 x$ passes through $(0,0)$ . No triangle enclosed. 3. Check B: Intercepts at $-0.5$ and $1$ . Triangle. Strategic Tip: Lines through the origin ( $y=mx$ ) cannot enclose an area with the axes. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is $y = 2x$

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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