# Explanation of slope !!!

1) Vertical line = infinity (or no slope) "I say"

"Slope is always defined as rise/run. In a vertical line, you rise infinitely, but you have no run, so you have some number as your rise/0. Anything divided by 0 is undefined, so the slope of a vertical line is undefined."

Response....saying I am wrong

No slope is not the same as infinity. No slope/undefined slope means that there is no concept of slope for a vertical line; it just does not exist. Infinity, on the other hand represents the concept that if you could count forever, you still could not count high enough to reach the end as it stretches to infinity.

Please explain

2) a horizontal line equation would look something like:

y= 0x + 5 (giving a 0 in the m position, so the slope is 0)

So it becomes just y=5?

Explain

https://brainmass.com/math/graphs-and-functions/explanation-slope-251046

#### Solution Preview

1) Vertical line = infinity (or no slope). Slope is always defined as rise/run. In a vertical line, you rise infinitely, but you have no run, so you have some number as your rise/0. Anything divided by 0 is undefined, so the slope of a vertical line is undefined.

Vertical lines have NO SLOPE. In particular, the concept of slope simply does not work for vertical lines. The slope doesn't ...

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