Geometry

Question Analysis

The main focus of this question is to determine the slope of the altitude from point  to the line . We first need to calculate the slope of the line  using the slope formula for two points. Then, we will use the property that the product of the slopes of two 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 are perpendicular, and their slopes are  and  respectively, then . The 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.