1 / 8

Determining Parallel and Perpendicular Lines: A Complete Guide

In this lesson, we explore how to determine if lines are parallel, perpendicular, or neither by comparing their slopes. Two lines are parallel if they have the same slope but different y-intercepts. They are perpendicular if their slopes are opposite reciprocals. We will work through several examples, including equations in slope-intercept and standard form, to solidify your understanding. You'll also learn how to write equations for lines that are either parallel or perpendicular to given lines. Improve your skills with the provided practice worksheet.

brennan-greene
Télécharger la présentation

Determining Parallel and Perpendicular Lines: A Complete Guide

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Lesson 2-2-3 -Determine if lines are parallel, perpendicular, or neither

  2. Parallel/Perpendicular Comparing slopes of lines can help determine if two lines are parallel, perpendicular, or neither. Two lines are parallelif they have the same slopes(and different y-intercepts) Two lines are perpendicular if their slopes are opposite reciprocals

  3. Examples: Determine if the lines are parallel, perpendicular, or neither. 1) and 4x – y = -1

  4. Examples: Determine if the lines are parallel, perpendicular, or neither. 2) the line passing through (1, 6) and (8, -1) and x + y = 2

  5. Examples: 3) Write an equation in Slope-Intercept form of the line passing through the point (5, -3) and perpendicular to the line y = 4x + 1

  6. Examples: 4) Write an equation in standard form of the line passing through (2, 1) and parallel to the line

  7. Wrap-Up: How can you use the equations of two non-vertical lines to tell whether the lines are parallel or perpendicular? Find the slopes and compare: --Same slope – parallel --Opposite reciprocal slopes - perpendicular

  8. Assignment: Practice 6-5 worksheet

More Related