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Determine whether the pair of equations is

parallel, perpendicular or neither.
y = 5x + 2
10x – 2y = 6
O parallel
O perpendicular
O neither

1 Answer

4 votes

Answer:

The answer is neither.

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.


10x - 2y = 6 \\ ( + 10x = + 10x)/( - 2y = 10x + 6) \\ \\ ( - 2y )/( - 2) = (10x + 6)/( - 2) \\ y = - 5x - 3

So we have now have both the equations:


y = 5x + 2 \\ and \\ y = - 5x - 3

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.

User Frapontillo
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