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Given the following linear functions determine the relationship

Given the following linear functions determine the relationship-example-1

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Answer:

Perpendicular

Explanation:

Linear equations will describe parallel lines when the lines have the same slope. These equations are written in slope-intercept form, so we can easily determine that the slopes are ...

f(x): slope is 5/6

g(x): slope is -6/5

These are not the same, so the lines are not parallel.

__

The lines will be perpendicular when the product of their slopes is -1. Here, that product is ...

(5/6)(-6/5) = -30/30 = -1

These equations describe lines that are perpendicular.

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