Lines c and d are perpendicular. The slope of line c is -1/3. What is the slope of line d?

To find the slope of line d, we need to remember that if two lines are perpendicular, the product of their slopes is -1.

Given the slope of line c is -1/3, we can set up the equation:

[

text{slope of line c} times text{slope of line d} = -1

]

Let ( m_d ) be the slope of line d:

[

left(-frac{1}{3}right) times m_d = -1

]

To find ( m_d ), we multiply both sides by -3:

[

m_d = -1 times -3 = 3

]

So, the slope of line d is 3.

Your answer is 3.