Answer
The two lines are neither parallel nor perpendicular.
Work Step by Step
If two non-vertical and non-horizontal lines are parallel, then their slopes are equal.
If two non-vertical and non-horizontal lines are perpendicular, then the product of their slopes is $-1$.
Here, for the first line:
$y=4x+5$
The slope, in this form of the equation, is equal to the coefficient of $x$.
Hence, the slope of this line is $4$.
For the second line:
$y=-4x+2$
The sope of this line is $-4$.
The slope of the two lines are not equal and their product is not $-1$.
Therefore the two lines are neither parallel nor perpendicular.
