What is the slope of a line perpendicular to #y=3x+4#?

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Answer 1 · 2018-03-12T13:11:47

#-1/3#

Lines that are perpendicular to each other always follow the rule:

#m_1*m_2=-1#

Therefore we know the m value (gradient) of your equation:

M=3

Therefore plug it in:

#3*m_2=-1#

#m_2=-1/3#

Therefore the slope of the line perpendicular to #y=3x+4# is

#-1/3#