7

Set 10: Linear Functions

Explanation

Answer: A

Find the distance between the x-intercept and y-intercept of 3x+4y=123x + 4y = 12.

A.

55

✓ Correct
B.

77

C.

1212

D.

2525

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Hypotenuse length. 1. Intercepts: (4,0)(4, 0) and (0,3)(0, 3). 2. Distance: (4−0)2+(0−3)2=16+9=25=5\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 55

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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