For this case we have to by definition, if two lines are perpendicular then the product of its slopes is -1, that is:
[tex]m_ {1} * m_ {2} = - 1[/tex]
So, if we have the slope [tex]m_ {1} = - \frac {1} {3}[/tex]
A perpendicular line will have a slope m_ {2}:
[tex]m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {- \frac {1} {3}}\\m_ {2} = 3[/tex]
Thus, the perpendicular line will have slope [tex]m_ {2} = 3[/tex]
Answer:
The perpendicular line will have slope [tex]m_ {2} = 3[/tex]
