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Elodia [21]
3 years ago
9

Determine whether the two lines are parallel, perpendicular or neither x-3y=6 y=3x+4

Mathematics
1 answer:
Anna [14]3 years ago
6 0

Answer:

neither

Here's how you know:

first, i'll simplify it so both are in slope-intercept form (y = mx + b).

x-3y=6

-3y = 6 - x

y = (1/3)x - 2

y=3x+4   is already in slope-intercept form, yay :)

these lines are neither parallel nor perpendicular.

The equations of parallel lines have THE SAME SLOPES (y = <em>m</em>x + b --> m would be exactly the same).

In contrast, perpendicular lines have NEGATIVE RECIPROCAL SLOPES (y = <em>m</em>x + b --> m would be <em>-1/m</em>).

<u><em>--> since the slopes of these match neither of these definitions, we know it must be neither.</em></u>

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