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