Final answer:
The slope of the line passing through the points (-2, 1) and (2, -11) is calculated using the slope formula, resulting in a slope of -3.
Step-by-step explanation:
To calculate the slope of a line passing through two given points, you can use the slope formula, which is the change in y (rise) divided by the change in x (run). This formula is represented as m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, we have the points (-2, 1) and (2, -11). Applying these to the slope formula, we get: m = (-11 - 1) / (2 - (-2)), which simplifies to m = (-12) / (4), resulting in a slope of -3.
To calculate the slope of a line passing through two points, you can use the formula: slope = (y2 - y1) / (x2 - x1). For the given points (-2,1) and (2,-11), the coordinates of the first point would be (x1,y1) = (-2,1) and the coordinates of the second point would be (x2,y2) = (2,-11). Plugging these values into the formula, you get: slope = (-11 - 1) / (2 - (-2)) = -12 / 4 = -3.