Given A(-7, -2), B(3, -3), C(-5, 4), and D(x, 3). Find the value of x such that. x = ______.
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 AB:
2. Let the slope of line CD be . Since , we have
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