Is y=3x+2 pependicular or parralell to 2y=6x-6

Step-by-step explanation:

As a first step, convert both equations to slope-intecept form by solving for y.

First equation:

-y = 3x - 2  Multiply by -1

y = -3x + 2

Second equation:

-6x + 2y = 6 Add 6x to each side

2y = 6x + 6  Divide both sides by 2

y = 3x + 2

To determine if two lines are parallel, first look at the slopes (coefficient on x).  If the slopes are the same, then the lines are either parallel or the same line (dependent).  In the case of these lines, the slopes are not the same, so they are not parallel.

To determine if two lines are perpendicular, look at the slopes.  If the slopes are inverse (fractions where the numerators and denominators are switched) opposites (one is positive and one is negative), then the lines are perpendicular.  In more basic terms, if the slopes were 3 and -1/3, they would be perpendicular.  Since they are not inverses, they are not perpendicular.

The lines are neither parallel nor perpendicular.

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