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Answer :
To find the slope of line [tex]\( p \)[/tex], we start by considering the properties of parallel lines. When two lines are parallel, they have the same slope. This means they rise and run at the same rate, ensuring they never intersect.
In this problem, we are informed that lines [tex]\( m \)[/tex] and [tex]\( p \)[/tex] are parallel. We are also given that the slope of line [tex]\( m \)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
Since line [tex]\( p \)[/tex] is parallel to line [tex]\( m \)[/tex], it must have the same slope. Therefore, the slope of line [tex]\( p \)[/tex] is also [tex]\(\frac{1}{25}\)[/tex].
So, the correct answer is:
D. [tex]\(\frac{1}{25}\)[/tex]
In this problem, we are informed that lines [tex]\( m \)[/tex] and [tex]\( p \)[/tex] are parallel. We are also given that the slope of line [tex]\( m \)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
Since line [tex]\( p \)[/tex] is parallel to line [tex]\( m \)[/tex], it must have the same slope. Therefore, the slope of line [tex]\( p \)[/tex] is also [tex]\(\frac{1}{25}\)[/tex].
So, the correct answer is:
D. [tex]\(\frac{1}{25}\)[/tex]
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