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

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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

Jan 7, 2018

#1
+8866
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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.

Jan 7, 2018

#1
+8866
+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