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Answer :
To solve this problem, we need to find the slope of line [tex]\( p \)[/tex] given that lines [tex]\( m \)[/tex] and [tex]\( p \)[/tex] are parallel. Remember, parallel lines have the same slope.
Here's a step-by-step breakdown:
1. Understand the Problem: We are given that lines [tex]\( m \)[/tex] and [tex]\( p \)[/tex] are parallel, and the slope of line [tex]\( m \)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
2. Recall the Property of Parallel Lines: Parallel lines always have the same slope. This means that since line [tex]\( m \)[/tex] has a slope of [tex]\(\frac{1}{25}\)[/tex], line [tex]\( p \)[/tex] must have the same slope because they are parallel.
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] is exactly the same as the slope of line [tex]\( m\)[/tex]. Therefore, the slope of line [tex]\( p \)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
4. Choose the Correct Answer: Looking at the answer choices provided, the correct answer that matches the slope of line [tex]\( p \)[/tex] is option D: [tex]\(\frac{1}{25}\)[/tex].
So, option D is the correct choice. The slope of line [tex]\( p \)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
Here's a step-by-step breakdown:
1. Understand the Problem: We are given that lines [tex]\( m \)[/tex] and [tex]\( p \)[/tex] are parallel, and the slope of line [tex]\( m \)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
2. Recall the Property of Parallel Lines: Parallel lines always have the same slope. This means that since line [tex]\( m \)[/tex] has a slope of [tex]\(\frac{1}{25}\)[/tex], line [tex]\( p \)[/tex] must have the same slope because they are parallel.
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] is exactly the same as the slope of line [tex]\( m\)[/tex]. Therefore, the slope of line [tex]\( p \)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
4. Choose the Correct Answer: Looking at the answer choices provided, the correct answer that matches the slope of line [tex]\( p \)[/tex] is option D: [tex]\(\frac{1}{25}\)[/tex].
So, option D is the correct choice. The slope of line [tex]\( p \)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
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