Geometry

Question Analysis
This question tests the understanding of the condition for perpendicular lines, which is that the product of their slopes must be -1.

Key Concept Explanation
Slope formula:
Two lines are perpendicular if the product of their slopes is -1. ()
In other words, the slope of a line perpendicular to another line is the negative reciprocal of the original slope. ()

Step-by-step Solution
1. Identify the slopes of both lines from the graph.
2. Calculate the slope of the black line with points (0, 3) and (2, 7):