Given:
The equations of lines are
To find:
The relation between two of lines.
Solution:
The slope intercept form of a line is
Where, m is slope and b is y-intercept.
We have,
...(i)
...(ii)
Equation (i) can be written as
...(iii)
On comparing (i) with slope intercept form, we get
On comparing (iii) with slope intercept form, we get
Now,
The product of slopes of both lines is -1. We know that the product of slopes of two perpendicular lines is -1.
Therefore, the given lines are perpendicular.