Given E(6, 1), F(3, 6), G(-4, 4), and H(-7, y). Find the value of y such that . y = _____.
Answer & Analysis
Analysis
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
The slope of a line is calculated as the change in y divided by the change in x (). For two lines to be parallel, their slopes must be equal.()
Step-by-step Solution
1. Calculate the slope of line EF:
2. Let the slope of line GH be . Since , we have
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