Given:
A line passes through (-5,-3) and perpendicular to
.
To find:
The equation of the line.
Solution:
We have,

On comparing this equation with slope intercept form, i.e.,
, we get

It means, slope of this line is
.
Product of slopes of two perpendicular lines is always -1.



Slope of required line is
and it passes through the point (-5,-3). So, the equation of the line is

where, m is slope.






Therefore, the equation of required line is
.