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x + 2y = 7

2y = -x + 7

y = -(x-7)/2 => -x/2 + 7/2

2x - y = 7

-y = -2x + 7

y = 2x + 7

Since -1/2 is the negative reciporical of 2, the slopes of these equations are perpendicular. Therefore, these two lines are perpendicular.

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12y ago
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Q: What type of lines are these x plus 2y equals 7 and 2x - y equals 7?
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