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To determine the slope of line [tex]\( p \)[/tex], knowing that lines [tex]\( m \)[/tex] and [tex]\( p \)[/tex] are parallel and that the slope of line [tex]\( m \)[/tex] is [tex]\(\frac{1}{25}\)[/tex], let's walk through the steps:
1. Understand the Property of Parallel Lines:
- Parallel lines in a plane have the same slope. This is a fundamental property of parallel lines. If two lines are parallel, their slopes must be equal.
2. Given Information:
- The slope of line [tex]\( m \)[/tex] is given as [tex]\(\frac{1}{25}\)[/tex].
3. Determining the Slope of the Parallel Line [tex]\( p \)[/tex]:
- Since line [tex]\( p \)[/tex] is parallel to line [tex]\( m \)[/tex], and parallel lines have equal slopes, 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 also [tex]\(\frac{1}{25}\)[/tex].
4. Concluding the Answer:
- Reviewing the options given:
A. [tex]\(-\frac{1}{25}\)[/tex]
B. -25
C. [tex]\(\frac{1}{25}\)[/tex]
D. 25
The correct answer is option C: [tex]\(\frac{1}{25}\)[/tex].
So, the slope of line [tex]\( p \)[/tex] is [tex]\(\boxed{0.04}\)[/tex].
To determine the slope of line [tex]\( p \)[/tex], knowing that lines [tex]\( m \)[/tex] and [tex]\( p \)[/tex] are parallel and that the slope of line [tex]\( m \)[/tex] is [tex]\(\frac{1}{25}\)[/tex], let's walk through the steps:
1. Understand the Property of Parallel Lines:
- Parallel lines in a plane have the same slope. This is a fundamental property of parallel lines. If two lines are parallel, their slopes must be equal.
2. Given Information:
- The slope of line [tex]\( m \)[/tex] is given as [tex]\(\frac{1}{25}\)[/tex].
3. Determining the Slope of the Parallel Line [tex]\( p \)[/tex]:
- Since line [tex]\( p \)[/tex] is parallel to line [tex]\( m \)[/tex], and parallel lines have equal slopes, 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 also [tex]\(\frac{1}{25}\)[/tex].
4. Concluding the Answer:
- Reviewing the options given:
A. [tex]\(-\frac{1}{25}\)[/tex]
B. -25
C. [tex]\(\frac{1}{25}\)[/tex]
D. 25
The correct answer is option C: [tex]\(\frac{1}{25}\)[/tex].
So, the slope of line [tex]\( p \)[/tex] is [tex]\(\boxed{0.04}\)[/tex].
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