[tex]m=-\frac{1}{3}[/tex] is the slope of a perpendicular line.
Step-by-step explanation:
For two lines to be perpendicular to each other, their slope must be mutually negative reciprocal (to check if the numbers are multiplied, they should be -1).
Given equation:
y = 3 x – 1
We know the standard slope equation, as y = m x + b. When comparing this with the given equation, we get slope value,
m = 3
But in question, they asked to find slope of a line perpendicular to the line. So, apply this ‘the perpendicular slope will be the opposite (negative) reciprocal of the original slope’
Therefore, the slope of a perpendicular line is
[tex]m=-\frac{1}{3}[/tex]
