Final answer:
The slope of the line passing through (-4, -1) and (2, 6) is 7/6. The line rises as we move from left to right.
Step-by-step explanation:
To find the slope of a line passing through two points, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the given coordinates:
m = (6 - (-1)) / (2 - (-4))
m = 7 / 6
Therefore, the slope of the line passing through (-4, -1) and (2, 6) is 7/6.
Since the slope of the line is positive, the line rises as we move from left to right. This means that as the x-values increase, the y-values also increase.