Answer:
As the product of the slop of both lines is -1.
Therefore, the given equations are perpendicular.
Explanation:
Given the equations


The slope-intercept form of the equation is

where m is the slope and b is the y-intercept.
Writing both equations in the slope-intercept form


So by comparing with the slope-intercept form we can observe that
slope of equation = 3
i.e.

also



So by comparing with the slope-intercept form we can observe that
the slope of equation = -1/3
i.e.

as
The slope of the perpendicular line is basically the negative reciprocal of the slope of the line.
so
The slope
is the negative reciprocal of the slope

Also, the product of two perpendicular lines is -1.
i.e.

VERIFICATION:
It is clear that the product of the slop of both lines is -1.


Therefore, the given equations are perpendicular.