4
algebra

What is the slope of the line x=5x = 5?

A

Undefined

B

00

C

55

D

11

Correct Answer: A

Choice A is the correct answer. Vertical lines have an undefined slope.

  1. Identify: The equation x=5x = 5 represents a vertical line.
  2. Reasoning: Vertical lines have a "run" of 0. Since slope is riserun\frac{\text{rise}}{\text{run}}, dividing by zero is undefined.

💡 Strategic Tip: Think of skiing: A horizontal floor has 0 slope (flat). A vertical cliff has undefined slope (you fall).

Choice B is incorrect because a slope of 0 belongs to horizontal lines (y=ky=k). Choice C is incorrect because 5 is the x-intercept, not the slope. Choice D is incorrect because a slope of 1 is a diagonal line (y=xy=x).