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.
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.