Is 0/5 undefined slope or zero slope?

Zero

Zero property of division states that zero divided by any number is equal to zero.

##0/n = 0##

A zero means a horizontal line. The ##y##-coordinate does not change no matter what the ##x##-coordinate is.

An undefined slope is when a number is divided by zero.

##n/0## = infinity or undefined

An undefined slope is a vertical line. The ##x##- coordinate never changes no matter what the ##y##-coordinate is.

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