Question

if m || n and the slope of line m is 3, what is the slope of line n?
a. (\frac{1}{3})
b. (-\frac{1}{3})
c. (-3)
d. (3)

Explanation:

Step1: Recall the property of parallel lines

Parallel lines have equal slopes. That is, if two lines \( m \) and \( n \) are parallel (\( m \parallel n \)), then the slope of line \( m \) (\( m_{m} \)) is equal to the slope of line \( n \) (\( m_{n} \)), i.e., \( m_{m}=m_{n} \).

Step2: Apply the property to the given problem

Given that the slope of line \( m \) is \( 3 \) and \( m \parallel n \), using the property of parallel lines, the slope of line \( n \) should be equal to the slope of line \( m \). So, the slope of line \( n \) is \( 3 \).

Answer:

D. 3