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y = -3/4x +2 is perpendicular to the line y = 4/3x + 5/6?

Question

y = -3/4x +2 is perpendicular to the line y = 4/3x + 5/6?

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Solution

Yes, the line y = -3/4x +2 is perpendicular to the line y = 4/3x + 5/6.

This is because the slopes of two lines that are perpendicular to each other are negative reciprocals. The slope of the first line is -3/4, and the negative reciprocal of -3/4 is 4/3, which is the slope of the second line. Therefore, these two lines are perpendicular.

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