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

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Answer 1 · 2017-09-11T14:02:08

#4/3#

We have:

# -6x -8y = 8 #

We put this into standard form #y=mx+c# by rearranging:

# 8y = -6x- 8 #
# :. 4y = -3x- 4 #
# :. y = -3/4x- 1 #

So the slope of the given line is #m=-3/4#

And, the slope of a perpendicular line is:

# m_p = -1/m = 4/3 #