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Answer :
To solve this problem, we want to determine the slope of line [tex]\( p \)[/tex] given that lines [tex]\( m \)[/tex] and [tex]\( p \)[/tex] are parallel.
1. Understanding Parallel Lines: When two lines are parallel, they have the same slope. This means the slope of line [tex]\( p \)[/tex] is the same as the slope of line [tex]\( m \)[/tex].
2. Given Slope for Line [tex]\( m \)[/tex]: We are told that the slope of line [tex]\( m \)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
3. Determine the Slope for Line [tex]\( p \)[/tex]: Since line [tex]\( p \)[/tex] is parallel to line [tex]\( m \)[/tex], it must have the same slope as line [tex]\( m \)[/tex]. Therefore, the slope of line [tex]\( p \)[/tex] is also [tex]\(\frac{1}{25}\)[/tex].
4. Select the Correct Option: Looking at the multiple-choice options:
- A. [tex]\(\frac{1}{25}\)[/tex]
- B. 25
- C. -25
- D. [tex]\(-\frac{1}{25}\)[/tex]
The correct answer is choice A: [tex]\(\frac{1}{25}\)[/tex].
Thus, the slope of line [tex]\( p \)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
1. Understanding Parallel Lines: When two lines are parallel, they have the same slope. This means the slope of line [tex]\( p \)[/tex] is the same as the slope of line [tex]\( m \)[/tex].
2. Given Slope for Line [tex]\( m \)[/tex]: We are told that the slope of line [tex]\( m \)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
3. Determine the Slope for Line [tex]\( p \)[/tex]: Since line [tex]\( p \)[/tex] is parallel to line [tex]\( m \)[/tex], it must have the same slope as line [tex]\( m \)[/tex]. Therefore, the slope of line [tex]\( p \)[/tex] is also [tex]\(\frac{1}{25}\)[/tex].
4. Select the Correct Option: Looking at the multiple-choice options:
- A. [tex]\(\frac{1}{25}\)[/tex]
- B. 25
- C. -25
- D. [tex]\(-\frac{1}{25}\)[/tex]
The correct answer is choice A: [tex]\(\frac{1}{25}\)[/tex].
Thus, the slope of line [tex]\( p \)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
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