In quadrilateral ABCD, $$\overline{BC} \perp \overline{AB}$$...

Question Analysis
This question tests the understanding of the properties of perpendicular lines and the application of the Slopes of Parallel Lines Theorem. The key is to determine the equation of $$\overline{AD}$$.

Key Concept Explanation
The Slopes of Parallel Lines Theorem states that if two non-vertical lines are parallel, then their slopes are equal. Perpendicular lines have slopes that are negative reciprocals of each other.

Step-by-step Solution
1. Identify the slope of line AB: $$m_{AB} = \frac{2 - (-1)}{4 - 1} = \frac{3}{3} = 1$$.
2. Since $$\overline{DA} \perp \overline{AB}$$ and $$\overline{DA} \perp \overline{DC}$$, $$\overline{AB} \parallel\overline{DC}$$.(In a plane, if two lines are perpendicular to a third line, then the two lines are parallel to each other.) So, the slope of DC: $$m_{DC}=1$$
3. Use the slope of DC and the coordinates of C to find the equatio...

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