Final answer:
The slope of the line that contains the points (-6, 1) and (4, -4) is calculated as -0.5 using the slope formula (y2 - y1) / (x2 - x1), which is not one of the provided options, suggesting there might be an error in the question.
Step-by-step explanation:
The slope of the line passing through the points (-6, 1) and (4, -4) can be calculated using the slope formula, which is slope (m) = (change in y) / (change in x), or (y2 - y1) / (x2 - x1). To apply this formula to the given points:
- Identify the coordinates of the two points: Point 1 (-6, 1), Point 2 (4, -4).
- Apply the slope formula: m = (-4 - 1) / (4 - (-6)) = (-5) / (10) = -0.5.
The slope of the line is therefore -0.5, which is not one of the options provided. It appears there might have been a mistake in the original question as the correct answer for the slope between these two points is not listed in the options A, B, or C.