What is the slope of the line that is parallel to the line

represented by the equation below?

4x - 5y = -1

Both slopes are going to be the same, as parallel lines have the same slopes but different y-intercepts. To find the slope of this line (if you haven't already), you need to isolate y.

4x - 5y = - 1

-5y = - 4x - 1 (or - 1 - 4x)

-y = (-4/-5) x - 1/5

Canceling out the negatives,

y = (4/5) x + 1/5.

Therefore, the slope of both the listed line and any line parallel to it is 4/5.