How do you find the slope that is perpendicular to the line #-25 + 8x = 5y#?

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Answer 1 · 2018-05-28T15:32:19

#m'=-5/8#

You need to do the algebra to get the equation in the slope intercept form:

#y=mx+b#

m is the slope.

#-25 + 8x = 5y#

5y = 8x -25

#y = 8/5y - 5#

#m = 8/5#

The rule for perpendicular slope is:

#m'=-1/m#

#m'=-1/(8/5)#

#m'=-5/8#