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Lines [tex] m [/tex] and [tex] p [/tex] are parallel. If the slope of line [tex] m [/tex] is [tex]\frac{1}{25}[/tex], what is the slope of line [tex] p [/tex]?

A. [tex]-25[/tex]
B. [tex]25[/tex]
C. [tex]\frac{1}{25}[/tex]
D. [tex]-\frac{1}{25}[/tex]

Answer :

To solve the question, we need to determine the slope of line [tex]\( p \)[/tex].

Since lines [tex]\( m \)[/tex] and [tex]\( p \)[/tex] are parallel, they must have the same slope. We are given that the slope of line [tex]\( m \)[/tex] is [tex]\( \frac{1}{25} \)[/tex].

Therefore, the slope of line [tex]\( p \)[/tex] is the same as the slope of line [tex]\( m \)[/tex].

After evaluating the slope, we understand that the numerical result is 0.04. This is equivalent to the slope [tex]\( \frac{1}{25} \)[/tex] when expressed as a decimal.

Thus, the slope of line [tex]\( p \)[/tex] is [tex]\( \frac{1}{25} \)[/tex].

Based on this understanding, the correct answer is:

C. [tex]\(\frac{1}{25}\)[/tex]

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