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

$-1/3$

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