What is the equation of the line perpendicular to #y=-3/8x # that passes through # (-8,8) #?

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Answer 1 · 2016-07-06T21:45:39

# y= 8/3x +29 1/3#

If lines are perpendicular, then the slope of one is the negative reciprocal of the other.

So, #1/2# is perpendicular to #-2#

#-2/3# is perpendicular to #3/2#

#5/4# is perpendicular to #-4/5#

In this case, #" "-3/8# is perpendicular to #8/3#

We also have the point #(-8,8)#

Use the formula #(y-y_1)=m(x-x_1)#

#y-8=8/3(x-(-8))#

#y = 8/3x +64/3 +8#

# y= 8/3x +29 1/3#