What is the slope of a line perpendicular to the line whose equation is
2x – 2y = 36. Fully reduce your answer.
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9514 1404 393

Answer:

  -1

Step-by-step explanation:

Solving the given equation for y, we have ...

  x -y = 18

  y = x - 18 . . . . . add y-18

The coefficient of x is 1. That is the slope of the given line. The desired perpendicular line will have a slope that is the negative reciprocal of this:

  m = -1/1 = -1

The slope of the perpendicular line is -1.

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The graph shows you that a line with slope -1 is perpendicular to the given line.

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