Question

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

represented by the equation below?
4x - 5y =-1

Answer 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.