Final answer:
By calculating the slopes of the two lines and finding that they are neither identical nor negative reciprocals, we determine that the lines have no specific relationship, which corresponds to Option D.
Step-by-step explanation:
To determine the relationship between the two lines described in the question, we need to compare their slopes. The slope of a line can be found by using the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) represent two points on the line.
For the line passing through (-7, 1) and (-11, 4), the slope is calculated as (4 - 1) / (-11 + 7) = 3 / -4 = -0.75. For the line passing through (-9, -3) and (-6, -7), the slope is calculated as (-7 + 3) / (-6 + 9) = -4 / 3.
Since the slopes of the two lines are neither identical (which would indicate that the lines are parallel) nor negative reciprocals of each other (which would indicate the lines are perpendicular), the correct answer is that the lines have no specific relationship to each other, which is Option D.