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

Question Analysis

The main focus is to calculate the slope of the altitude from point to the line . We first determine the slope of using the slope formula. Then, we 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 .

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

Step - by - Step Solution

1. Find the slope of line :

Given and , substitute , , , and into the slope formula.

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