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Chapter 4: Q. 287 (page 496)

Why is the slope of a vertical line “undefined”?

Short Answer

Expert verified

The slope is the ratio of the rise to run. For vertical line the run is 0. So, the slope of the line will be x0which is un defined.

Step by step solution

01

Step 1. Given Information

The given line is a vertical line.

02

Step 2. Analyse the rise by run ratio

  • The slope of a line is equal to its rise by run ratio.
  • The run of the vertical line is 0.
  • So, it only has some rise associated with it.
  • This makes the slope of the form x0.
  • The value of x0 cannot be defined. So, the slope of a vertical line is undefined.

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