What is the slope of the altitude from to given that and ?

Question Analysis

The main focus is to find the slope of the altitude from point to line . First, we need to calculate the slope of line using the slope formula for two points, and then use 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 , substitute into the slope formula: .

Calculate the numerator: , and the denominator: . So,

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