Final answer:
To find the slope of the line through the points (-6,9) and (-10,-6), use the slope formula, resulting in a slope of 3.75.
Step-by-step explanation:
The student is asking for the slope of the line passing through two points, (-6,9) and (-10,-6). To determine the slope, which is the rate of change along the line, we can use the slope formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.
Using the provided points, the slope calculation would be:
m = (-6 - 9) / (-10 - (-6)) = (-15) / (-4) = 3.75.
Therefore, the slope of the line that passes through the points (-6,9) and (-10,-6) is 3.75.