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Answer :
Sure! Let's go through the solution step-by-step:
1. Understanding Parallel Lines: When two lines are parallel, it means they run side-by-side without ever intersecting. This happens when the lines have the same slope.
2. Given Information: We're told that lines [tex]\(m\)[/tex] and [tex]\(p\)[/tex] are parallel. We know that the slope of line [tex]\(m\)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
3. Determining the Slope of Line [tex]\(p\)[/tex]: Since lines [tex]\(m\)[/tex] and [tex]\(p\)[/tex] are parallel, they must have the same slope. Therefore, the slope of line [tex]\(p\)[/tex] is also [tex]\(\frac{1}{25}\)[/tex].
4. Choosing the Correct Answer: From the given options:
- A. [tex]\(\frac{1}{25}\)[/tex]
- B. 25
- C. [tex]\(-\frac{1}{25}\)[/tex]
- D. -25
The correct slope for line [tex]\(p\)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
Therefore, the answer is:
A. [tex]\(\frac{1}{25}\)[/tex]
1. Understanding Parallel Lines: When two lines are parallel, it means they run side-by-side without ever intersecting. This happens when the lines have the same slope.
2. Given Information: We're told that lines [tex]\(m\)[/tex] and [tex]\(p\)[/tex] are parallel. We know that the slope of line [tex]\(m\)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
3. Determining the Slope of Line [tex]\(p\)[/tex]: Since lines [tex]\(m\)[/tex] and [tex]\(p\)[/tex] are parallel, they must have the same slope. Therefore, the slope of line [tex]\(p\)[/tex] is also [tex]\(\frac{1}{25}\)[/tex].
4. Choosing the Correct Answer: From the given options:
- A. [tex]\(\frac{1}{25}\)[/tex]
- B. 25
- C. [tex]\(-\frac{1}{25}\)[/tex]
- D. -25
The correct slope for line [tex]\(p\)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
Therefore, the answer is:
A. [tex]\(\frac{1}{25}\)[/tex]
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