x - 3y = 6 and y = 3x + 2
The second equation is in the format of...
y=mx+b, m is the slope.
Let's convert the first equation...
x - 3y = 6
Let's subtract x from both sides...
Let's divide both sides by -3...
A negative number divided by a negative number results in a positive number.
The first equation has a slope of 1/3.
The second equation has a slope of 3.
Perpendicular equations must have slopes which are negative-inverses of the other.
These are not.