Final answer:
The given lines are neither parallel nor perpendicular.
Step-by-step explanation:
The given lines can be determined to be parallel, perpendicular, or neither by comparing their slopes.
The slope of a line can be found using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.
Line A passes through (-4,5) and (-2,8), so its slope is :
(8 - 5) / (-2 - (-4))
= 3 / 2.
Line B passes through (-6,7) and (-3,5), so its slope is :
(5 - 7) / (-3 - (-6))
= -2 / 3.
Since the slopes of the two lines are not the same and the product of their slopes is not -1, they are neither parallel nor perpendicular.