What is the slope of the line perpendicular to 2y= -6x +8?

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Answer 1 · 2016-07-02T21:51:40

#+1/3#

Change the equation into standard form first (÷2):

#y = -3x +4#

The gradient is -3 - better written as #-3/1#

The gradients of perpendicular lines are negative reciprocals of each other.

The required gradient is #+1/3#

A check is that their product should be -1

#m_1 xx m_2 = -3/1 xx 1/3 = -1#