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 find the slope of line , 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 , using the slope formula , we have .

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

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