8

Set 10: Linear Functions

Explanation

Answer: A

Find the y-intercept of the line 4x+5y=204x + 5y = 20.

A.

44

✓ Correct
B.

55

C.

4-4

D.

2020

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Set x=0x=0. 1. Substitute: 4(0)+5y=205y=204(0) + 5 y = 20 \rightarrow 5 y = 20. 2. Solve: y=4y = 4. Strategic Tip: In Standard Form Ax+By=CAx+By=C, the y-intercept is C/BC/B. Choice B is incorrect because it is the x-intercept (20/420 /4). Choice C is incorrect because sign error. Choice D is incorrect because it results from an error in the solution process.

Key Steps:

The correct answer is 44

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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