Final Answer:
The slope of the line parallel to AP is also 4/7.
Step-by-step explanation:
The slope of a line represents the ratio of the vertical change to the horizontal change between any two points on the line. Parallel lines have the same slope, so if AP has a slope of 4/7, any line parallel to AP will also have a slope of 4/7.
To understand this concept, consider that parallel lines remain equidistant from each other and never intersect. When two lines are parallel, their slopes are identical. In mathematical terms, if the slope of line AP is m, then the slope of any line parallel to AP is also m. This holds true regardless of the specific values of the slope; in this case, both the original line AP and its parallel counterpart have a slope of 4/7.
In summary, when dealing with parallel lines, the slopes are equal. Therefore, the slope of the line parallel to AP is 4/7, maintaining the same inclination or steepness as line AP itself.