Final answer:
The slope of the line passing through the points (-2, 1) and (-4, -7) is 4.
Step-by-step explanation:
To find the slope of a line passing through two points, you can use the formula:
Slope (m) = (y2 - y1) / (x2 - x1)
Using the points (-2, 1) and (-4, -7), the calculation becomes:
Slope (m) = (-7 - 1) / (-4 - (-2))
Simplifying this, the slope is
Slope (m) = -8 / -2 = 4
Therefore, the slope of the line passing through the points (-2, 1) and (-4, -7) is 4.