Determine whether the pair of equations is
parallel, perpendicular or neither.
y = 5x + 2
10x – 2y = 6
O parallel
O perpendicular
O neither

Respuesta :

Answer:

The answer is neither.

Step-by-step explanation:

We need to solve for y in the equation, 10x-2y= 6.

In other words, we are going to find the slope intercept of that equation.

[tex]10x - 2y = 6 \\ \frac{ + 10x = + 10x}{ - 2y = 10x + 6} \\ \\ \frac{ - 2y }{ - 2} = \frac{10x + 6}{ - 2} \\ y = - 5x - 3[/tex]

So we have now have both the equations:

[tex]y = 5x + 2 \\ and \\ y = - 5x - 3[/tex]

It's not parallel because the slopes aren't the same. It's not perpendicular because when the slope of the equation becomes a negative reciprocal, it still doesn't end up with the same slope as the other equation.

It's neither parallel or perpendicular.

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