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Slopes of perpendicular lines are opposite reciprocals of each other. The slope of the given equation (which is in slope-intercept form) is 1, the invisible coefficient of x. The opposite reciprocal of 1 is -1, thus the slope of a line perpendicular to the line y = x + 4 is -1.

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Answer:

So uh yea slopes of perpendicular lines are opposite reciprocals of each other, the slope of the given equation is 1, the invisible coefficient of x, the opposite reciprocal of 1 is -1, thus the slope of a line perpendicular to the line y = x + 4 is -1.

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