3
algebra

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

A

y=2y = -2

B

x=4x = 4

C

y=4y = 4

D

x=2x = -2

Correct Answer: A

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 becausex=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.