Final answer:
The slope of the line through (-2, 6) and (-5, 9) is -1.
Step-by-step explanation:
The slope of a line can be found by using the formula:
m = (Y2 - Y1) / (X2 - X1)
where (X1, Y1) and (X2, Y2) are the coordinates of two points on the line.
In this case, the coordinates of the two points are (-2, 6) and (-5, 9).
We can substitute these values into the formula:
m = (9 - 6) / (-5 - (-2))
m = 3 / (-3)
m = -1
Therefore, the slope of the line through (-2, 6) and (-5, 9) is -1.