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Write the point-slope form equation of the line that passes through the point (-4,-2) and isperpendicular to the graph of 3x - 2y +9= 0.

 Sep 12, 2020
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I don't like point-slope so I will convert.

 

3x-2y=-9 --> 2y=3x+9 --> y=3/2x+9/2

 

Perpendicular has slope -2/3. So y=-2/3x+b. Plug (-4,-2) --> -2=(-2/3)*(-4)+b --> -2=8/3+b --> b=-14/3

 

So eqn. is y=-2/3x-14/3 --> 3y=-2x-14 --> 3y+2x+14=0

 Sep 12, 2020

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