Which of the following lines is perpendicular to the line given by the equation y = – 1 ⁄ 6 x + 8?

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Accepted Answer

The slopes of perpendicular lines are negative reciprocals of each other. When an equation is written in slope-intercept form (y = mx + b), the slope of the line is m. The slope of the line y = – 1 ⁄ 6 x + 8 is – 1 ⁄ 6 . The negative reciprocal of – 1 ⁄ 6 is 6. Only y = 6x + 8 is a line with a slope of 6.

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