What are the points on y-axis which are at a distance of 4 units from 4x+3y=12

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 .

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