Question #29ab3

1 Answer
F
Nov 6, 2017

#y=-3x-7#

Explanation:

Determining the slope of the line,
#−x+3y=9#
#3y=x+9#
#y= 1/3x +3#
#m=1/3#

We know that the slope of the line perpendicular to #−x+3y=9# is equal to its the negative reciprocal of #1/3#.
Therefore the slope of the unknown line is -3.

Determining the equation of the line passing through #(-3,2)#,
#(y-y_1)=m(x-x_1)#
#(y-2)=-3(x-(-3))#
#y-2=-3x-9#
#y=-3x-9+2#
#y=-3x-7#

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