Math Example--Linear Function Concepts--Parallel and Perpendicular Lines: Example 2

Topic

Linear Functions

Description

This example illustrates how to find the equation of a line perpendicular to y = 3x - 4 and passing through the point (5, 1). The solution uses the negative reciprocal slope m = -1/3 and applies the point-slope form. The resulting equation is y - 1 = -1/3(x - 5), which simplifies to y = -1/3x + 2/3.

Understanding perpendicular lines is a key concept in linear functions. These examples help students grasp the relationship between slopes of perpendicular lines and how to use given information to derive new line equations. The visual representation on a graph aids in comprehending the spatial relationship between the given line and the perpendicular line.

Exposure to multiple worked-out examples is crucial for students to fully understand this concept. They provide various scenarios and reinforce the application of negative reciprocal slopes and point-slope form in different contexts. This repetition helps solidify the process and improves problem-solving skills.

Teacher's Script: Now, let's focus on finding equations of perpendicular lines. Remember, the slopes of perpendicular lines are negative reciprocals of each other. We'll use this principle along with the point-slope form to create our new equation.

For a complete collection of math examples related to Parallel and Perpendicular Lines click on this link: Math Examples: Equations of Parallel and Perpendicular Lines Collection.