SOLUTION: what is the slope of a line is perpendicular to the line y=3x-4 please show me the steps

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Question 338013: what is the slope of a line is perpendicular to the line y=3x-4
please show me the steps

Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
A slope of a line that is perpendicular to the given line will be the negative reciprocal of the slope of your line. The slope of your line is 3. See it? It is the number next to x. The negative reciprocal of 3 is -1/3.
The answer is -1/3. Why? Because when you multiply 3 by -1/3,
you will get -1. This is what is meant by the negative reciprocal of a given number.