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Which of the following equations represents a line that is perpendicular to the line y = 4x + 5?

  1. y = 4x - 5

  2. y = -4x - 5

  3. y = 1/4x - 5

  4. y = -1/4x + 5

The correct answer is: y = -4x - 5

A line that is perpendicular to the line y = 4x + 5 will have a slope that is the negative reciprocal of 4. Option C and D have reciprocal slopes, but they are not negative. Option A has the correct negative slope, but it is not the reciprocal of 4. Option B has the correct negative slope of -4, making it the only equation that represents a line perpendicular to y = 4x + 5.