Set 3: Linear Functions (Advanced)

Explanation

Answer: A

Find the distance between the x-intercept and y-intercept of $3x + 4y = 12$ .

$5$

✓ Correct

$7$

$12$

$25$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Hypotenuse length. 1. Intercepts: $(4, 0)$ and $(0, 3)$ . 2. Distance: $\sqrt{(4-0)^2 + (0-3)^2} = \sqrt{16 + 9} = \sqrt{25} = 5$ . Strategic Tip: It's a 3-4-5 right triangle. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is $5$

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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