Final answer:
The slopes of the two lines are not equal, so none of the given options are true.
Step-by-step explanation:
The slope of a line between two points can be found using the formula:
slope = (y2 - y1) / (x2 - x1)
For the first set of points, (-8,4) and (-4,0), the slope is: (0 - 4) / (-4 - (-8)) = -4 / 4 = -1. For the second set of points, (-2,2) and (5,-9), the slope is: (-9 - 2) / (5 - (-2)) = -11 / 7. Since the slopes of the two lines are equal, we have: -1 = -11 / 7. Multiplying both sides of the equation by 7, we get: -7 = -11. This is not a true statement, so the slopes are not equal. Therefore, none of the given options(a. The line is horizontal, b. The line is vertical, c. The line is ascending, d. The line is descending) is true.