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Answer :
To solve this problem, we need to determine the slope of line [tex]\( p \)[/tex] given that it is parallel to line [tex]\( m \)[/tex].
1. Understanding Parallel Lines:
When two lines are parallel, they have the same slope. This is a key concept in geometry. So, if you know the slope of one line, the slope of any line parallel to it will be the same.
2. Given Information:
We are told that the slope of line [tex]\( m \)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
3. Finding the Slope of Line [tex]\( p \)[/tex]:
Since line [tex]\( p \)[/tex] is parallel to line [tex]\( m \)[/tex], it will have the same slope as line [tex]\( m \)[/tex].
4. Conclusion:
Thus, the slope of line [tex]\( p \)[/tex] is also [tex]\(\frac{1}{25}\)[/tex].
Therefore, the correct answer is option A: [tex]\(\frac{1}{25}\)[/tex].
1. Understanding Parallel Lines:
When two lines are parallel, they have the same slope. This is a key concept in geometry. So, if you know the slope of one line, the slope of any line parallel to it will be the same.
2. Given Information:
We are told that the slope of line [tex]\( m \)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
3. Finding the Slope of Line [tex]\( p \)[/tex]:
Since line [tex]\( p \)[/tex] is parallel to line [tex]\( m \)[/tex], it will have the same slope as line [tex]\( m \)[/tex].
4. Conclusion:
Thus, the slope of line [tex]\( p \)[/tex] is also [tex]\(\frac{1}{25}\)[/tex].
Therefore, the correct answer is option A: [tex]\(\frac{1}{25}\)[/tex].
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