Final answer:
The slope of a line parallel to y=-(3/8)x-7 is also -3/8, as parallel lines have identical slopes. This slope indicates a decrease of 3 on the vertical axis for every increase of 8 on the horizontal axis.
Step-by-step explanation:
The slope of a line parallel to another line is equal to the slope of that line. Given the equation y=-(3/8)x-7, we can identify the slope of this line as -3/8. Since parallel lines have the same slope, the slope of the line passing through the point (-5,6) and parallel to y=-(3/8)x-7 is also -3/8.
To understand this concept, imagine the slope as the steepness of the line. In this case, there is a decrease of 3 on the vertical axis for every increase of 8 on the horizontal axis. This rate of change remains consistent for any line parallel to the original line, hence the same slope value.