1 / 25

Geometry

Geometry. Agenda 1. ENTRANCE 2. Go over Practice 3. 3-5 Lines in the Coordinate Plane 4. Practice 5. EXIT. Practice. Chapter 3. 3-5 Lines in the Coordinate Plane. Slope. The steepness of a line. Types of Slope. Positive Negative Zero No. Equations of Lines.

hjo
Download Presentation

Geometry

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. Geometry • Agenda 1. ENTRANCE 2. Go over Practice 3. 3-5 Lines in the Coordinate Plane 4. Practice 5. EXIT

  2. Practice

  3. Chapter 3 3-5 Lines in the Coordinate Plane

  4. Slope • The steepness of a line

  5. Types of Slope • Positive • Negative • Zero • No

  6. Equations of Lines • A line is a set of points. Every line has an equation that relates the coordinates of these points. ex: x + y = 5 (1, 4) (4, 1) (3, 2) (2, 3) (0, 5) (5, 0)

  7. Forms of a Line • These are each different forms of the same equation. x + y = 5 Standard form y = -x + 5 Slope-Intercept form y – 3 = -1(x -2) Point-Slope form

  8. Standard Form • This equation is of the form Ax + By = C. The x and y terms are on the left side and the constant is on the right side of the equation. x + y = 5

  9. Slope-Intercept Form • This equation is of the form y = mx + b. The y term is on the left and the x term is on the right side of the equation. The value of m is the slope of the equation. The value of b is the y-intercept. y = -x + 5

  10. Point-Slope Form • This equation is of the form y – y1 = m(x – x1). The y term is on the left and the x term is on the right side of the equation. The value of m is the slope of the equation. The values x1 and y1 are the coordinates of a point on the line. y – 3 = -1(x – 2) m = -1 (2, 3)

  11. Example #1 • Graph.

  12. Example #2 • Graph.

  13. Example #3 • Graph.

  14. Example #4 • Graph.

  15. Example #5 • Graph.

  16. Example #6 • Graph.

  17. Example #7 • Find the equation of a line with slope -8 that contains the point (3, -6).

  18. Example #8 • Find the equation of a line that contains the points (4, -9) and (-1, 1).

  19. Example #9 • Find the equation of a line with slope -1 that contains the point (2, -4).

  20. Example #10 • Find the equation of a line that contains the points (5, 0) and (7, -3).

  21. Example #11 • Find the equation of a horizontal line through the point (5, -1).

  22. Example #12 • Find the equation of a vertical line through the point (-7, -5).

  23. Example #13 • A wheelchair ramp is being constructed at a local hospital. What is the equation of the line that represents the ramp?

  24. Example #14 • The equation C = $0.50d + $0.75 represents the cost (C) for purchasing d number of donuts at the local bakery. • What is the slope of the line represented by this equation? • What does the slope represent in this situation? • What is the y-intercept of the line? • What does the y-intercept represent in this situation?

  25. Practice • WB 3-5 # 1, 2, 9, 11, 19, 25, 26, 33 • EXIT

More Related