atn55061 atn55061
  • 14-07-2021
  • Mathematics
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What is the slope of a line thal is perpendicular to the line 2y - 3x = 8?​

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sqdancefan
sqdancefan sqdancefan
  • 17-07-2021

9514 1404 393

Answer:

  -2/3

Step-by-step explanation:

The slope of the given line can be found by solving for y.

  2y -3x = 8

  2y = 3x +8 . . . . add 3x

  y = 3/2x +4 . . . . divide by 2

The slope is the coefficient of x: 3/2. For the perpendicular line, the slope is the opposite reciprocal of this:

  -1/(3/2) = -2/3

The slope of a perpendicular line is -2/3.

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