How do you find the slope of the line #Y-3=0#?

1 Answer
Alan P.
Aug 1, 2015

The slope of #y-3=0# is #0#

Explanation:

#y-3=0# implies #y# is a constant (with a value of #3#)

as such its graph is a horizontal line (with slope 0)

#"slope" = ("change in "y)/("corresponding change in "x)#

...but for the given equation the "change in #y# is always going to be #0#
regardless of what the change in #x# is
and therefore the slope will be #0#

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