Given:
The equation of line is

To find:
The points on y-axis which are at a distance of 4 units from the given line.
Solution:
The point lie on the y-axis. So, their x-coordinate must be zero.
Let the points are in the form of (0,k).
The distance between a point
and a line
is

The given equation can be written as

The distance between (0,k) and
is 4 units.




Multiply both sides by 5.




Now,


Therefore, the two points are
.