realnoobtition
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  • 21-07-2021
  • Mathematics
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Decide whether the graphs of the given euqations are parallel perpendicular or neither

Decide whether the graphs of the given euqations are parallel perpendicular or neither class=

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jimthompson5910 jimthompson5910
  • 21-07-2021

Answer: C) perpendicular

Explanation:

Each equation given to you is in y = mx+b form (aka slope intercept form).

The slope m is what we'll focus on.

The first equation has slope of 1, while the second equation has slope -1.

The two slopes multiply to -1. This is a property of any pair of perpendicular lines, as long as neither line is vertical nor horizontal.

Or you could note that -1 is the negative reciprocal of 1, or vice versa.

So there are a few options to see why the lines are perpendicular.

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