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Answer :
To solve this problem, we need to understand the relationship between the slopes of parallel lines. Lines that are parallel to each other have the same slope.
Here’s the step-by-step solution:
1. The problem states that lines [tex]\(m\)[/tex] and [tex]\(p\)[/tex] are parallel. This means they share the same slope.
2. We are given that the slope of line [tex]\(m\)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
3. Because parallel lines have equal slopes, the slope of line [tex]\(p\)[/tex] must also be [tex]\(\frac{1}{25}\)[/tex].
Therefore, the correct answer is:
B. [tex]\(\frac{1}{25}\)[/tex]
Here’s the step-by-step solution:
1. The problem states that lines [tex]\(m\)[/tex] and [tex]\(p\)[/tex] are parallel. This means they share the same slope.
2. We are given that the slope of line [tex]\(m\)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
3. Because parallel lines have equal slopes, the slope of line [tex]\(p\)[/tex] must also be [tex]\(\frac{1}{25}\)[/tex].
Therefore, the correct answer is:
B. [tex]\(\frac{1}{25}\)[/tex]
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