Given: equation is perpendicular to equation and cuts off an intercept of 4 units with the negative direction of y-axis

To find:

The equation of a line which is perpendicular to the line and which cuts off an intercept of 4 units with the negative direction of y-axis.

Explanation:

The line perpendicular to is

It is Given that the line cuts off an intercept of 4 units with the negative direction of the y-axis.

This means that the line passes through (0,-4).

∴

⇒

Substituting the value of λ, we get , which is the equation of the required line.