1 / 18

Finding Slope and Rate of Change

Learn how to find the slope and rate of change in linear equations. Understand different types of slopes and their characteristics. Practice examples and solve assignments.

rmcduffie
Download Presentation

Finding Slope and Rate of Change

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. Finding Slope and Rate of Change Section 2.2 2.2: Slope and Rate of Change

  2. Definitions • Linear equation: An equation whose graph is a line • Slope is a non-vertical line of the vertical change to the horizontal change between two points of a line • Y-intercept is where the line crosses the y-axis 2.2: Slope and Rate of Change

  3. Slope Equation • Slope equation: • Rewrite it as: • Rise:The number of points up (vertically) from the previous point • Run: The number of points sideways (horizontally) from the rise 2.2: Slope and Rate of Change

  4. Types of Slope Positive Slope Negative Slope 2.2: Slope and Rate of Change

  5. Types of Slope Zero Slope Horizontal Line 2.2: Slope and Rate of Change

  6. Types of Slope No Slope/ Undefined Vertical Line 2.2: Slope and Rate of Change

  7. Zero versus Undefined 2.2: Slope and Rate of Change

  8. Undefined Slope 2.2: Slope and Rate of Change

  9. Steps • Find the change of Y and change of Xof two of the points • Determine the ratios for both • Simplify the ratio • Repeat the process for two other points • Check answer 2.2: Slope and Rate of Change

  10. Example 1 What is the slope of these two points, (–1, 3) and (2, –2)? Will it rise, fall, horizontal, or vertical? Create a t-chart & solve for slope –1 – (2) = –3 3 – (–2) = 5 2.2: Slope and Rate of Change

  11. Example 1 What is the slope of these two points, (–1, 3) and (2, –2)? Will it rise, fall, horizontal, or vertical? –2 3 –1 2 2.2: Slope and Rate of Change

  12. +2 +2 +2 –1 –1 –1 Your Turn What is the slope of this table? Will it rise, fall, horizontal, or vertical? 2.2: Slope and Rate of Change

  13. +1 +1 +1 +2 +4 +8 Example 2 What is the slope of this table? Will it rise, fall, horizontal, or vertical? 2.2: Slope and Rate of Change

  14. Your Turn What is the slope of these two points, (1, –5) and (1, 0)? Will it rise, fall, horizontal, or vertical? 2.2: Slope and Rate of Change

  15. Example 3 What is the slope of these two points, f(2) = 2 and f(6) = 8? Will it rise, fall, horizontal, or vertical? 2.2: Slope and Rate of Change

  16. Example 4 What is the slope of these two points, f(a) = 3 and f(–2a) = 7? 2.2: Slope and Rate of Change

  17. Your Turn What is the slope of these two points, f(2) = 8 and f(6) = 8? Will it rise, fall, horizontal, or vertical? 2.2: Slope and Rate of Change

  18. Assignment Page 86 3-17 odd, 29-33 odd 2.2: Slope and Rate of Change

More Related