Final answer:
For a line with a slope of 0, all points on the line must have the same y-value. The line includes the point (-2, -6), so the y-value for the other point (-3, w) must also be -6.
Step-by-step explanation:
To determine the value of w for a line that has a slope of 0 and passes through the points (-3, w) and (-2, -6), we must understand that a slope of 0 indicates a horizontal line. The change in y (rise) over the change in x (run) for a horizontal line is 0, because there is no vertical change. Since there is no rise, the y-values for all points on the line must be the same. Therefore, if the slope is 0 and the line includes the point (-2, -6), the other point (-3, w) must have the same y-value. Thus, w = -6.