1 / 39

SLOPE

SLOPE. The ratio of the vertical change to the horizontal change. IN LAYMAN’S TERMS:. Slope is the measure of the steepness of a line!. HOW IT’S FIGURED: there are two ways. Also know as: Rise Run. VERTICAL CHANGE. ___________________. STEEPNESS =. HORIZONTAL CHANGE. **OR**.

nailah
Download Presentation

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. SLOPE The ratio of the vertical change to the horizontal change

  2. IN LAYMAN’S TERMS: Slope is the measure of the steepness of a line!

  3. HOW IT’S FIGURED:there are two ways Also know as: Rise Run VERTICAL CHANGE ___________________ STEEPNESS = HORIZONTAL CHANGE **OR** Change in Y-axis ___________________ SLOPE (m) = Change in X-axis

  4. Find the slope of the hill

  5. Find the slope of the hill

  6. And the answer is…. 3 2.5

  7. Find the Slope of the Slide

  8. Find the Slope of the slide

  9. And the answer is… 4 or 2 2 1

  10. Find the slope of the rollercoaster

  11. Find the slope of the rollercoaster

  12. And the answer is…. 7 - 2.5

  13. Find the slope of the mountain

  14. Find the slope of the mountain

  15. And the answer is…. 5 - 4

  16. Solve by graphing: • A line goes through points (-3,5) and (2,1)

  17. To solve by graphing: • Start at the left dot and count down till you’re even with the right dot.

  18. To solve by graphing: • Start at the left dot and count down till you’re even with the right dot.

  19. To solve by graphing: • Now count over till you reach the right dot.

  20. And the answer is…. 4 down, 4 to the right -4 5

  21. To solve by formula, simply replace the x and y values with the x and y values of the points. (-3,5) and (2,1) y1 – y2 x1-x2 Hint! (-3[x1], 5[y1]) and (2 [x2], 1 [y2]

  22. And the answer is… 5 – 1 4 -3 – 2 -5 There the same answer!

  23. WORK TIME!In your groups Find the slope of a line that contains points A(-2, 5) B(4, -5)

  24. HERE’S HOW YOU SOLVE IT: Change in Y-axis ___________________ SLOPE (m) = Change in X-axis 5 – (-5) ___________________ m of line AB = -2 - 4 10 ___________________ = -6 5 ___________ - = 3

  25. NOW TRY THESE ON YOUR OWN Find the slope of a line that contains each pair of points: • R(9, -2) S(3, -5) • M(7, -4) N(9, 4)

  26. True or False?? ALL HORIZONTAL LINES HAVE THE SAME SLOPE

  27. TRUE! All horizontal have a slope of 0

  28. What is the slope of the wall?

  29. The slope of a vertical line has NO SLOPE!

  30. CAN TWO LINES HAVE THE SAME SLOPE?

  31. YES! Parallel lines have the same slope

  32. It’s a Miracle! Slope Intercept Form y= mx + b X- x value Y- y value M- the slope B- y intercept ( we will learn about this tomorrow)

  33. Slope Intercept Form In the equation: Y= 2x + 5 2 is the slope What is the slope of the line of: Y= 2/3x + 8?

  34. Classifying Slope • Positive slope – line slants up from • left to right. • • Negative slope – line slants down • from left to right. • • Zero slope – line is horizontal. • • Undefined slope – line is vertical.

  35. Try with your group: X Y • What is the slope of the line representedby the table of values below?

  36. Try with your group:

  37. Try with your group: Which of the following shows the graph of a line with positive slope? B A D C

  38. Which statement best describes the slope of the line graphed above? Try with your group:

  39. Which of the following lines appears to have the greatest slope? Which of the following lines appears to have the greatest slope?

More Related