5

Set 1: Linear Functions

Explanation

Answer: A

Identify the y-intercept of the line 3x+4y=123x + 4y = 12.

A.

33

✓ Correct
B.

44

C.

3-3

D.

1212

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Set x=0x=0 to find the y-intercept. 1. Method: The y-intercept occurs where x=0x = 0. 2. Substitute: 3(0)+4y=124y=123(0) + 4 y = 12 \rightarrow 4 y = 12. 3. Solve: y=3y = 3. Strategic Tip: You can also convert to slope-intercept form (y=34x+3y = -\frac{3}{4}x + 3), but setting x=0x=0 is faster. Choice B is incorrect because it's the coefficient of y. Choice C is incorrect because it's the wrong sign. Choice D is incorrect because it's the constant term before dividing.

Key Steps:

The correct answer is 33

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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