Given points A(5, -9), B(2, 6), C(-9, 1) and D(x, 2). Find the value of x such that . x = ____
Answer & Analysis
Analysis
Question Analysis
This question tests the understanding of the condition for perpendicular lines, which states that the product of their slopes must be -1.
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 perpendicular, the product of their slopes must be -1 ().
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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