Answer:
As the product of the slop of both lines is -1.
Therefore, the given equations are perpendicular.
Step-by-step 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.