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Answer :
To solve this problem, let's start by understanding the key information given:
1. Lines [tex]\( m \)[/tex] and [tex]\( p \)[/tex] are parallel.
2. The slope of line [tex]\( m \)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
When two lines are parallel, they have the same slope. This means that the slope of line [tex]\( p \)[/tex] must be the same as the slope of line [tex]\( m \)[/tex].
Therefore, since the slope of line [tex]\( m \)[/tex] is [tex]\(\frac{1}{25}\)[/tex], the slope of line [tex]\( p \)[/tex] must also be [tex]\(\frac{1}{25}\)[/tex].
Given the multiple-choice options:
A. [tex]\(-\frac{1}{25}\)[/tex]
B. 25
C. -25
D. [tex]\(\frac{1}{25}\)[/tex]
The correct answer is D. [tex]\(\frac{1}{25}\)[/tex].
So, the slope of line [tex]\( p \)[/tex] is indeed [tex]\(\frac{1}{25}\)[/tex].
1. Lines [tex]\( m \)[/tex] and [tex]\( p \)[/tex] are parallel.
2. The slope of line [tex]\( m \)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
When two lines are parallel, they have the same slope. This means that the slope of line [tex]\( p \)[/tex] must be the same as the slope of line [tex]\( m \)[/tex].
Therefore, since the slope of line [tex]\( m \)[/tex] is [tex]\(\frac{1}{25}\)[/tex], the slope of line [tex]\( p \)[/tex] must also be [tex]\(\frac{1}{25}\)[/tex].
Given the multiple-choice options:
A. [tex]\(-\frac{1}{25}\)[/tex]
B. 25
C. -25
D. [tex]\(\frac{1}{25}\)[/tex]
The correct answer is D. [tex]\(\frac{1}{25}\)[/tex].
So, the slope of line [tex]\( p \)[/tex] is indeed [tex]\(\frac{1}{25}\)[/tex].
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