1 / 18

6-1 Slope

6-1 Slope. Slope is a measure of steepness. The letter “m” is used to represent slope. 4 Types of Slope. Zero. Negative. Positive. Undefined or No Slope. Slope is sometimes referred to as the “constant rate of change” between 2 points.

purity
Télécharger la présentation

6-1 Slope

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. 6-1 Slope

  2. Slope is a measure of steepness.

  3. The letter “m” is used to represent slope.

  4. 4 Types of Slope Zero Negative Positive Undefined or No Slope

  5. Slope is sometimes referred to as the “constant rate of change” between 2 points.

  6. The constant rate of change can be written as = Change in the Dependent Variable Change in the Independent Variable Dependent = Y value Independent = X value

  7. Since slope is a constant rate of change, always look for a number or pattern that repeats. So what pattern do you see that the y-values follow? What happens every time? That’s the slope of the table!

  8. If given 2 points on a line, you may find the slope using the formula m = y2 – y1 x2 – x1 (the change in y divided by the change in x)

  9. The formula may sometimes be written as m =∆y . ∆x What does ∆ stand for? change

  10. m = y2 – y1 x2 – x1 Find the slope of the line through the points (3,7) and (5, 19). y2 x1 x2 y1 m = 19 – 7 5 – 3 m = 12 2 m = 6

  11. (3, 4) and (-6, -2) m = -2 – 4 -6 – 3 m = y2 – y1 x2 – x1 m = -6 -9 m = ⅔

  12. (0, -5) and (4, 3) m = 3 – -5 4 – 0 m = y2 – y1 x2 – x1 m = 8 4 m = 2 or 2/1

  13. What if the numerator is 0? m = 0 What if the denominator is 0? m = undefined or no slope

  14. Slope is also found by m = rise run

  15. If given the graph of a line, find the slope by using the “triangle” method to find the rise over run.

  16. rise = 4 m= rise run run = 5 m= 4/5

  17. rise = 2 m= rise run run = -5 m= - 2/5

  18. Recap today’s lesson: • Slope is the steepness of a line or constant rate of change. • m represents slope • Slope can be found different ways • Rise over Run • Y2 – Y1 • X2 – X1

More Related