10

Set 8: Linear Functions (Advanced)

Explanation

Answer: A

Which equation represents a horizontal line passing through (4,2)(4, -2)?

A.

y=2y = -2

✓ Correct
B.

x=4x = 4

C.

y=4y = 4

D.

x=2x = -2

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Horizontal lines have the form y=ky = k. 1. Identify: A horizontal line has a slope of 0 and passes through all points with the same y-coordinate. 2. Select: The y-coordinate of the point (4,2)(4, -2) is 2-2. 3. Equation: y=2y = -2. Strategic Tip: Horizontal lines have 0 slope and are y= equations (HOY). Vertical lines have Undefined slope and are x= equations (VUX). Choice B is incorrect because x=4x=4 is a vertical line. Choice C is incorrect because it uses the x-coordinate for a y-equation. Choice D is incorrect because it uses the y-coordinate for an x-equation.

Key Steps:

The correct answer is y=2y = -2

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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