answer
Any line with gradient
−
1
3
will be perpendicular to the line
y
=
3
x
+
2
.
(it should have the form
y
=
−
1
3
x
+
b
, where b is an arbitrary number)
Step-by-step explanation:
To find the equation of perpendicular lines, find the reciprocal of the gradient (in this case
1
3
) and multiply it by
−
1
. To check, the gradient of the original line multiplied by the gradient of the new line should be equal to
−
1
.