Geometry

Question Analysis
This question tests the understanding of the Slopes of Parallel Lines Theorem, which states that if two non-vertical lines are parallel, then their slopes are equal.

Key Concept Explanation
To find the value of B, we need to determine the slope of the line passing through the given points and set it equal to the slope of the given line.

Step-by-step Solution
1. Calculate the slope of the line passing through (1, 5) and (-3, 11):

2. Rewrite the given line equation in slope-intercept form:

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