addalinea addalinea
  • 13-08-2019
  • Mathematics
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What is the slope of a line that is perpendicular to the line whose equation is 2x−y=7?

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sqdancefan
sqdancefan sqdancefan
  • 13-08-2019

Answer:

  -1/2

Step-by-step explanation:

Rearranging this equation to slope-intercept form, we see the slope (x-coefficient) is 2:

  2x = 7 + y . . . . . add y

  y = 2x -7 . . . . . . subtract 7

The slope of the perpendicular line is the opposite of the reciprocal of this:

  -1/2 = slope of perpendicular

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