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Determine the slope of the given equation of the line. Find the opposite reciprocal of the slope. -2x - 4y...

Determine the slope of the given equation of the line. Find the opposite reciprocal of the slope.
-2x - 4y = 8
Slope, m =
Opposite Reciprocal of the Slope =

Answer

To find the slope of the line given by the equation -2x - 4y = 8, we need to rewrite it in slope-intercept form (y = mx + b), where m is the slope.

  1. Rearrange the equation: -4y = 2x + 8.
  2. Divide every term by -4 to solve for y: y = -0.5x - 2.
  3. The slope (m) is -0.5.

The opposite reciprocal of the slope -0.5 is calculated by taking the reciprocal and changing the sign:

  1. The reciprocal of -0.5 is -2.
  2. The opposite reciprocal is 2.

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