1 / 9

Bellwork

Partner Activity for graphing. Bellwork. Algebra 2. Lesson 1.3 Day 2 Linear Equations in two variables Parallel and Perpendicular Lines. Write an equation for a line that is parallel or perpendicular to a given line. Objectives:. Results from partner activity. Parallel Lines

maik
Télécharger la présentation

Bellwork

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. Partner Activity for graphing Bellwork

  2. Algebra 2 Lesson 1.3 Day 2 Linear Equations in two variables Parallel and Perpendicular Lines

  3. Write an equation for a line that is parallel or perpendicular to a given line. Objectives:

  4. Results from partner activity. Parallel Lines • Two lines that have the same slope are parallel. • All horizontal lines are parallel. • All vertical lines are parallel. Perpendicular Lines • The slopes of perpendicular lines are negative reciprocals of each other. • All vertical lines are perpendicular to horizontal lines. • All horizontal lines are perpendicular to vertical lines.

  5. Practice: Identify parallel, perpendicular and intersecting Lines • 1.) y = 2x+4 and y = -½x - 6 Answer: Perpendicular lines • 2.) y = -3 and y = 4 Answer: Parallel lines • 3.) y = 2x – 6 and x = 3 Answer: Intersecting lines • 4.) y = ¼x + 7 and y + 4x = 2 Answer: Perpendicular lines • 5.) y -4x = 23 and 2y – 8x = 16 Answer: Parallel lines

  6. Key Concept: Use your knowledge of parallel and perpendicular slopes to write equations of line. You will still use the slope-intercept equation or the point-slope equation when writing the equations.

  7. Write in slope intercept form the equation of the line that is parallel to the line in the standard (x,y) plane an that also contains the point (4, -2). Example 1st step: find the slope 2nd step: find the y-intercept y = mx+b -2 = (1/2)(4) +b b = -4 3rd step: write the equation y = (1/2)x - 4

  8. Try These • Directions: Write an equation in slope intercept form for the line that has the given information. • Passing through (8, 5) and parallel to • Answer: • Passing through (-2, -5) and perpendicular to • Answer: • Contains the y-intercept of the line and is perpendicular to the line • Answer:

  9. Homework Lesson 1.3 Page 26 (35-51 odds, 53-58 all) Be sure to show all work and check your answers with b.o.b.

More Related