Are these lines #8x - y = 7 and x + 8y = 7# parallel, perpendicular or neither?

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Answer 1 · 2017-11-29T05:07:11

Perpendicular.

Parallel lines have the same slope.

Perpendicular lines have slopes that are negative reciprocals of each other.

If you manipulate the second equation, you get:

#8y=-x+7#

By dividing. By #8# you get:

#y=-\frac{1}{8]x+7#

The slope here is the negative receiprocal of #8#, which is the slope of the other line.

#\therefore# the lines are perpendicular.