Y=mx+b
Where m is the slope and b is the y intercept.
So plug in the slope and y intercept
Y=-5x+1
As for the answer of the question in the picture, it is intercepting but not perpendicular.
If the 2 equations are parallel then the slope is the same with different y intercepts.
If the 2 equations are perpendicular the slopes would be the negative inverses of one another.
(Example: y=2x and y=-(x/2)+5 would be perpendicular to one another)
If the slope and y intercept are the same then it is the same line
Since it is neither of those it is intercepting but not perpendicular.