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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