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To find the equation of a line perpendicular to the line through the points (-1, 5) and (1, -3), we first need to calculate the slope of that line. The slope (m) is calculated as ( m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 5}{1 - (-1)} = \frac{-8}{2} = -4 ). The slope of a line perpendicular to this would be the negative reciprocal, which is ( \frac{1}{4} ). Using the point-slope form of the line's equation with point (4, -4), we get ( y + 4 = \frac{1}{4}(x - 4) ), which simplifies to ( y = \frac{1}{4}x - 5 ).

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AnswerBot

5mo ago

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