quinta
Uploaded by
28 SLIDES
385 VUES
280LIKES

Understanding Parallel and Perpendicular Lines in Algebra

DESCRIPTION

Learn how to derive linear equations using the point-slope formula, understand the concepts of parallel and perpendicular lines, and find equations for lines parallel or perpendicular to given lines. Practice graphing and determining slopes in interactive exercises.

1 / 28

Télécharger la présentation

Understanding Parallel and Perpendicular Lines in Algebra

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 5.5 Parallel and Perpendicular Lines

  2. Alg 7.0 Derive linear equations by using the point-slope formula. Alg 8.0 Understand the concepts of parallel lines and perpendicular lines and how those slopes are related. Find the equation of a line perpendicular to a given line that passes through a given point.

  3. Lesson Objective: Students will be able to write equations of parallel and perpendicular lines as demonstrated by a Ticket out the Door.

  4. Graph the following on the coordinate plane. y x Parallel lines have the same slope.

  5. Think Pair Share: Parallel lines Two lines are parallel if they never intersect. Example: Parallel lines Not parallel lines What do we know about the slope of parallel lines?

  6. Graph the following on the coordinate plane. y x Lines appear perpendicular Perpendicular lines have slopes that are opposite reciprocals

  7. Perpendicular Lines Two lines are perpendicular if they intersect to form right angles. Example: Not perpendicular Perpendicular What do we know about the slope of perpendicular lines? Think Pair Share: Lines are perpendicular if the product of the slopes is -1 (opposite andreciprocal).

  8. Example 1: m=2 I Do! Find the slopeonly of a line paralleland perpendicular to the graph of each equation. Example 2:

  9. We Do! Find the slope of a line parallel and perpendicular to the graph of each equation.

  10. Think Pair Share: We Do! Find the slope of a line parallel and perpendicular to the graph of each equation.

  11. Partner A on the White Board You Do! Find the slope of a line parallel and perpendicular to the graph of each equation. Partner B on the White Board

  12. Determine if the lines in each pair are parallel or perpendicular?

  13. Part 1: Parallel Lines

  14. Parallel lines: Lines are parallel if they have the same slope but different y-intercepts.

  15. Write in slope-intercept form the equation of the line that is parallel to the line in the graph and passes through the given point.

  16. Flow map for parallel lines: Step 1: Determinethe slope that you will need m = Point-Slope Form • Step 2:take the given point • x1 = • y1 = • Step 3:plug the point and slope into the point - slope formula • y – y1 = m(x – x1) • Step 4:distribute and solve for “y” • y = mx + b Slope-Intercept Form Stop here if the question asks for Point Slope Form

  17. I Do! Write in slope-intercept form the equation of the line that is parallel to the line and passes through the point (6, 2).

  18. We Do! Write in slope-intercept form the equation of the line that is parallel to the line and passes through the point (-4, -6).

  19. You Do! Partner A on the Whiteboard: Write in slope-intercept form the equation of the line that is parallel to the line and passes through the point (0,1).

  20. You Do! Partner B on the Whiteboard: Write in slope-intercept form the equation of the line that is parallel to the line and passes through the point (-3,5).

  21. Part 2: Perpendicular Lines

  22. Perpendicular lines Lines are perpendicular if the product of their slopes equals −1 The slopes are: *opposite *reciprocal

  23. Write in slope-intercept form the equation of the line that is perpendicularto the line in the graph and passes through the given point.

  24. I Do! Write in slope-intercept form the equation of the line that is perpendicular to the line and passes through the point (6, 2).

  25. We Do! Write in slope-intercept form the equation of the line that is perpendicular to the line and passes through the point (0, 1).

  26. You Do! Partner A on the Whiteboard Write in slope-intercept form the equation of the line that is perpendicular to the line and passes through the point (-1, 2).

  27. You Do! Partner B on the Whiteboard Write in slope-intercept form the equation of the line that is perpendicular to the line and passes through the point (-1, -2).

  28. Summary • Parallel Lines: They have the same exact slope (m) and different y-intercepts (b) • Perpendicular Lines: Their slopes are opposite (change the sign) and reciprocals (flip)of each other.

More Related