Geometry

Question Analysis
This question tests the understanding of the Slopes of Parallel Lines Theorem and the application of the area of a triangle in a coordinate plane.

Key Concept Explanation
The Slopes of Parallel Lines Theorem states that if two lines are parallel, their slopes are equal.
The area of a triangle formed by a line with the x-axis and y-axis can be calculated using the intercepts.

Step-by-step Solution
1. Calculate the slope of Line A:
2. Since Line B is parallel to Line A, the slope of Line B is also 2:
3. The equation of Line B is .
4. Find the x-intercept of Line B by setting :
5. Find the y-intercept of Line B, which is .
6. The area of the triangle formed by Line D with the x-axis and y-axis is given by:

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