How do you find the slope that is perpendicular to the line # x = 4#?

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How do you find the slope that is perpendicular to the line # x = 4#?

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Answer 1 · 2017-09-07T13:11:21

I tried this:

Explanation:

You know that #x=4# represents a vertical line passing through point #x=4, y=0#:
enter image source here

we can think that the perpendicular, in the form #y=mx+c#, must be perfectly horizontal, i.e., have a slope:
#m=0#
giving a line of equation #y=c# where #c# will be a real number (for example #y=3#):

enter image source here

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How do you find the slope that is perpendicular to the line # x = 4#?

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