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Calculating Slope

Calculating Slope. Objective Students will find the slope of a line. Standard EA-5.6 Carry out a procedure to determine the slope of a line from data given tabularly, graphically, symbolically, and verbally. Relevance Slope can be used to determine the steepness of a roof or ramp. Agenda

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Calculating Slope

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  1. Calculating Slope • Objective • Students will find the slope of a line. • Standard • EA-5.6 Carry out a procedure to determine the slope of a line from data given tabularly, graphically, symbolically, and verbally. • Relevance • Slope can be used to determine the steepness of a roof or ramp. • Agenda • SA, Brief review of Unit 3 Test, “Calculating Slope”, Guided and Independent Practice, HW

  2. Starter AssignmentSeptember 29, 2008 • Write the formula for the following arithmetic sequences. • 61, 64. 67,… • 16, 47, 78,… • 100, 87, 74,.. • Then find the 25th term for each sequence.

  3. 61, 64. 67,…

  4. 16, 47, 78,…

  5. 100, 87, 74,..

  6. Unit 4Graphing and Linear Equations • Today’s Objectives • Calculate the slope of a line by using the rise and run and the slope formula.

  7. Finding Slope From Rise and Run • Slope is the ratio of vertical rise to horizontal run.

  8. 24 cm 60 cm

  9. Try This • Find the slope of a line that represents the uphill path of a hiker if the rise is 12 inches and the run is 24 inches.

  10. A graph that represents hiking downhill shows a line that is falling from left to right. • The rise is negative in this case

  11. Types of Slope • On a coordinate plane, lines with a positive slope go up as move from left to right. • Lines with a negative slope go down as you move from left to right.

  12. Lines with positive slope

  13. Lines with negative slope

  14. Defining Slope • You can find slope of a line if you know the coordinates of two points on the line.

  15. How to find slope? • If you know two points (x1, y1) and (x2, y2), the formula to find slope is

  16. x1 x2 y1 y2 How to calculate slope? Find the slope of the line that passes through (-1, 2) and (3,4). Since ½ is a positive number, the slope is positive.

  17. x1 x2 y1 y2 How to calculate slope? Find the slope of the line that passes through (-1, -2) and (-4,1). Since is a negative number, the slope is negative.

  18. Horizontal and Vertical Lines • Horizontal and vertical lines are special cases that are important to the study of slope.

  19. x1 x2 y1 y2 How to calculate slope? Find the slope of the line that passes through (1, 2) and (-1, 2). The slope is zero.

  20. x1 x2 y1 y2 How to calculate slope? Find the slope of the line that passes through (1, -2) and (1, 3). Since division by zero is undefined, the slope is undefined.

  21. (-3, 2) and (5, 5) (-3, -4) and (-2, -8) Compute the slope for the following points. Graph and describe the slope.

  22. (-3, 4) and (4, 4) (-2, -4) and (-2, 3) Compute the slope for the following points. Graph and describe the slope.

  23. Now you know, it’s not always that easy. • By now you should all be semi-professionals for solving equations and solving proportions. • So let’s give this a shot.

  24. Find the value of r. • (r, 6) and (10, -3) and the slope is

  25. Find the value of r. • (6, 3) and (r, 2) and the slope is

  26. Rate of Change A rate of change tells, on average, how a quantity is changing over time.

  27. Travel • Find the rates of change for • 1991 – 1995 and 1993 -1999.

  28. February 25, 2008Tonight’s Homework In Your Textbook Page 260 (16- 30 Even) (42- 44 Even) Check your plant & record the growth!!!

  29. Dining Out

  30. Classwork • You may work alone or work quietly with a partner. • Page 259 (5 – 12)

  31. Tonight’s HomeworkSeptember 29, 2008 In Your Textbook Page 260 15 – 30 Even 41-44 All

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