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Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line −2x+3y=6 ?

 

 

 

Parallel           Perpendicular                  Neither

 

 

−3x−2y=4

 

−2x+3y=−6

 

2x + 3y = 6

 

−2x+3y=0

sii1lver  Jan 7, 2018

Best Answer 

 #1
avatar+7153 
+2

The slope of the line     -2x + 3y  =  6     is     2/3  .

 

The slope of the line     -3x − 2y  =  4     is    -3/2  .  This is perpendicular.

 

The slope of the line     -2x + 3y  =  -6    is     2/3  .  This is parallel.

 

The slope of the line      2x + 3y  =  6     is    -2/3  .  This is neither.

 

The slope of the line     -2x + 3y  =  0     is     2/3  .  This is parallel.

hectictar  Jan 7, 2018
 #1
avatar+7153 
+2
Best Answer

The slope of the line     -2x + 3y  =  6     is     2/3  .

 

The slope of the line     -3x − 2y  =  4     is    -3/2  .  This is perpendicular.

 

The slope of the line     -2x + 3y  =  -6    is     2/3  .  This is parallel.

 

The slope of the line      2x + 3y  =  6     is    -2/3  .  This is neither.

 

The slope of the line     -2x + 3y  =  0     is     2/3  .  This is parallel.

hectictar  Jan 7, 2018

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