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

Answer :

Certainly! Let's solve this step-by-step.

We are told that lines [tex]\( m \)[/tex] and [tex]\( p \)[/tex] are parallel. One important property of parallel lines is that they have the same slope. This means that if you know the slope of one of the parallel lines, you automatically know the slope of the other.

In this problem, the slope of line [tex]\( m \)[/tex] is given as [tex]\( \frac{1}{25} \)[/tex].

Since parallel lines have the same slope, the slope of line [tex]\( p \)[/tex] will also be [tex]\( \frac{1}{25} \)[/tex].

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

Therefore, the correct choice is:

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

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