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Answer 1 · 2017-11-08T01:07:28

#y=2/3x+3#

The slope of the line #y = -3/2x +11# is #-3/2#

Since our unknown line is perpendicular to #y = -3/2x +11#, the slope of our unknown is #2/3# (which is the negative reciprocal of #-3/2#).

The unknown line passes through:
#P_1(3,5)#

The equation of the line can be determined using:
#(y-y_1)=m(x-x_1)#

#(y-5)=2/3(x-3)#

Simplifying further,
#y-5=2/3x-2#

#y=2/3x-2+5#

#y=2/3x+3#