Geometry

Question Analysis

The main focus is to determine the slope of the altitude from point  to line . This requires first calculating the slope of line  using the slope formula for two points, and then applying the property that the product of slopes of perpendicular lines is  to find the slope of the altitude.

 

Key Concept Explanation

1. Slope formula: The slope  of a line passing through two points  and  is given by .

2. Perpendicular lines: If two lines with slopes  and  are perpendicular, then .

 

Step - by - Step Solution

1. Find the slope of line :

Given  and , use the slope formula . Here, .

Substitute the values: .

Calculate the numerator: , and the denominator:

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