Answer:
The slope of line p is 1/3. The correct option is B.
Step-by-step explanation:
Let the slope of line p be m.
The product of slopes of two perpendicular lines is -1 and the slope of two parallel lines are same.
[tex]m_1\times m_2=-1[/tex]
It is given that lines m and p are perpendicular. It means the product of slopes of m and p is -1. The slope of line m is -3.
[tex]-3\times m=-1[/tex]
Divide both sides by -3.
[tex]m=\frac{-1}{-3}[/tex]
[tex]m=\frac{1}{3}[/tex]
Therefore the slope of line p is 1/3. The correct option is B.
