How do you find the slope of a line parallel to the graph of each equation y=6?

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Answer 1 · 2016-05-09T06:53:46

#m = 0#

Parallel lines have the same slope.
The line parallel to #y = 6# will have the same slope as the given equation.

#m = (y_1 - y_2)/(x_1 - x_2)#

For the given equation, #y = 6#, any value of #x# would yield the same value for #y# (which is 6).

Hence we have

#m = (6 - 6)/(1 - 2)#

#=> m = 0/-1 = 0#