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Answer :
- Parallel lines have the same slope.
- The slope of line $m$ is $\frac{1}{25}$.
- Therefore, the slope of line $p$ is also $\frac{1}{25}$.
- The slope of line $p$ is: $\boxed{\frac{1}{25}}$
### Explanation
1. Problem Analysis
The problem states that lines $m$ and $p$ are parallel, and we are given the slope of line $m$ as $\frac{1}{25}$. We need to find the slope of line $p$. A fundamental property of parallel lines is that they have the same slope. Therefore, the slope of line $p$ is equal to the slope of line $m$.
2. Slope of Parallel Lines
Since parallel lines have the same slope, the slope of line $p$ is the same as the slope of line $m$, which is $\frac{1}{25}$.
3. Final Answer
Therefore, the slope of line $p$ is $\frac{1}{25}$.
### Examples
In architecture, parallel lines are often used in the design of walls and ceilings. If you know the slope of one wall, and you want to build another wall parallel to it, you would use the same slope to ensure they are parallel. This ensures the structural integrity and aesthetic appeal of the building.
- The slope of line $m$ is $\frac{1}{25}$.
- Therefore, the slope of line $p$ is also $\frac{1}{25}$.
- The slope of line $p$ is: $\boxed{\frac{1}{25}}$
### Explanation
1. Problem Analysis
The problem states that lines $m$ and $p$ are parallel, and we are given the slope of line $m$ as $\frac{1}{25}$. We need to find the slope of line $p$. A fundamental property of parallel lines is that they have the same slope. Therefore, the slope of line $p$ is equal to the slope of line $m$.
2. Slope of Parallel Lines
Since parallel lines have the same slope, the slope of line $p$ is the same as the slope of line $m$, which is $\frac{1}{25}$.
3. Final Answer
Therefore, the slope of line $p$ is $\frac{1}{25}$.
### Examples
In architecture, parallel lines are often used in the design of walls and ceilings. If you know the slope of one wall, and you want to build another wall parallel to it, you would use the same slope to ensure they are parallel. This ensures the structural integrity and aesthetic appeal of the building.
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