Question

Determine whether the pair of equations is

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

Answer 1

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.