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Lines \( m \) and \( p \) are parallel. If the slope of line \( m \) is \(\frac{1}{25}\), what is the slope of line \( p \)?

A. 25
B. \(-\frac{1}{25}\)
C. \(\frac{1}{25}\)
D. -25

Answer :

When two lines are parallel, they have the same slope. We are given that the slope of line \( m \) is

$$
\frac{1}{25}.
$$

Since line \( p \) is parallel to line \( m \), its slope must be equal to the slope of line \( m \). Therefore, the slope of line \( p \) is

$$
\frac{1}{25}.
$$

Thus, the correct answer is C. \( \frac{1}{25} \).

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