The slope intercept form of the equation of line is written as
y = mx + c
where
m represents slope
c represents y intercept
For the first equation,
y = - 5x
Slope, m = - 5
For the second equation,
25x + 5y = 1
5y = 1 - 25x
5y = - 25x + 1
Dividing both sides of the equation by 5, it becomes
y = - 5x + 1/5
Slope, m = - 5
If the slope of two equations are equal, it means that the lines are parallel. Since the slope of both equations is - 5, then they are parallel
They are parallel