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What is the slope of a line perpendicular to the line whose equation is 2x+4y=-642x+4y=−64. Fully simplify your answer.

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Answer:

  2

Step-by-step explanation:

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

  2x +4y = -64

  4y = -2x -64

  y = -1/2x -16

The coefficient of x is the slope of the given line: -1/2. The slope of the perpendicular line is the opposite reciprocal of this:

  -1/(-1/2) = 2

The slope of the perpendicular line is 2.

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