Question

How do you find the slope that is perpendicular to the line `y=3x+2`?

Answer 1

Any line with gradient `-1/3` will be perpendicular to the line `y = 3x + 2`.

(it should have the form `y = -1/3 x + b`, where b is an arbitrary number)

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`.