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

Question Analysis

The main focus of this problem is to calculate the slope of the altitude from point to the line . First, we determine the slope of line using the slope formula. Then, we leverage the property of perpendicular lines—perpendicular lines have slopes whose product 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 .

2. Perpendicular lines: If two lines with slopes and are perpendicular, . An altitude from a vertex to the opposite side of a triangle is perpendicular to that side.

Step - by - Step Solution

1. Find the slope of line :

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