Final answer:
The slope of the line passing through the points (1,-6) and (-4,-2) is calculated using the slope formula and results in a slope of -0.8.
Step-by-step explanation:
The slope of a line passing through two given points can be found using the formula: slope (m) = Δy / Δx = (y2 - y1) / (x2 - x1). Applying this formula to the points (1,-6) and (-4,-2), we get:
slope (m) = (-2 - (-6)) / (-4 - 1) = 4 / -5 = -0.8.
Therefore, the slope of the line that contains the points (1,-6) and (-4,-2) is -0.8.