5

Set 17: Linear Functions (Intermediate)

Explanation

Answer: A

Identify the y-intercept of the line y3=2(x4)y - 3 = 2(x - 4).

A.

5-5

✓ Correct
B.

33

C.

8-8

D.

11-11

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Convert to slope-intercept form or set x=0x=0. 1. Distribute: y3=2x8y - 3 = 2 x - 8 2. Add 3: y=2x5y = 2 x - 5 3. Intercept: b=5b = -5 Strategic Tip: Don't just read numbers from the equation. You must simplify to y=mx+by=mx+b form. Choice B is incorrect because it's the y-coordinate of the point, not the intercept. Choice C is incorrect because it's part of the distribution. Choice D is incorrect because of calculation error.

Key Steps:

The correct answer is 5-5

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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