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Answer :
Sure, let's work through the problem step-by-step:
We are given that lines [tex]\( m \)[/tex] and [tex]\( p \)[/tex] are parallel.
### Step 1: Understanding Parallel Lines
Parallel lines have the same slope. This means if we know the slope of one of the lines, the slope of the other line must be identical.
### Step 2: Given Information
We are told that the slope of line [tex]\( m \)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
### Step 3: Determine the Slope of Line [tex]\( p \)[/tex]
Since lines [tex]\( m \)[/tex] and [tex]\( p \)[/tex] are parallel, the slope of line [tex]\( p \)[/tex] must be the same as the slope of line [tex]\( m \)[/tex].
Therefore, the slope of line [tex]\( p \)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
### Conclusion
The slope of line [tex]\( p \)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
### Correct Answer
The correct choice is:
C. [tex]\(\frac{1}{25}\)[/tex]
We are given that lines [tex]\( m \)[/tex] and [tex]\( p \)[/tex] are parallel.
### Step 1: Understanding Parallel Lines
Parallel lines have the same slope. This means if we know the slope of one of the lines, the slope of the other line must be identical.
### Step 2: Given Information
We are told that the slope of line [tex]\( m \)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
### Step 3: Determine the Slope of Line [tex]\( p \)[/tex]
Since lines [tex]\( m \)[/tex] and [tex]\( p \)[/tex] are parallel, the slope of line [tex]\( p \)[/tex] must be the same as the slope of line [tex]\( m \)[/tex].
Therefore, the slope of line [tex]\( p \)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
### Conclusion
The slope of line [tex]\( p \)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
### Correct Answer
The correct choice is:
C. [tex]\(\frac{1}{25}\)[/tex]
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