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Do Now 6/1/10

Do Now 6/1/10. Take out HW from Wednesday and Thursday. Text p. 400, #10-30 evens Practice worksheet 8.3 Form B Copy HW in your planner. Text p. 407, #8-10, 12-30 evens Be ready to copy Problem of the Week #6. Homework Text p. 400, #10-30 evens. Practice worksheet 8.3 Form B. Objective.

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Do Now 6/1/10

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  1. Do Now 6/1/10 • Take out HW from Wednesday and Thursday. • Text p. 400, #10-30 evens • Practice worksheet 8.3 Form B • Copy HW in your planner. • Text p. 407, #8-10, 12-30 evens • Be ready to copy Problem of the Week #6.

  2. HomeworkText p. 400, #10-30 evens Practice worksheet 8.3 Form B

  3. Objective • SWBAT find the slope of a line and interpret slope as a rate of change • In your notebook, answer the following question. There are two skateboard ramps at a skate park. One ramp is 12 ft long and 6 ft tall. The other is 10 ft long and 8 ft tall. Which ramp do you think is steeper? How can you tell?

  4. Section 8.4 “The Slope of a Line” SLOPE- the ratio of the vertical change (the rise) to the horizontal change (the run) between any two points on a line. Slope = rise = change in y run change in x

  5. Slope Symbols The slope m of a line passing through two points and is the ratio of the rise change to the run. y run rise “positive slope” x

  6. Slope Symbols The slope m of a line passing through two points and is the ratio of the rise change to the run. y rise run x “negative slope”

  7. 6– 2 2– (– 4) 4 2 3 6 y2 –y1 m = x2 – x1 = = = Find a positive slope Find the slope of the line shown. Let (x1, y1) = (–4, 2) = (x2, y2) = (2, 6). Write formula for slope. Substitute. Simplify.

  8. y2 –y1 (– 1) – 2 m = = x2 – x1 4– 5 – 3 = 3 = –1 Find the slope of the line that passes through the points. (5, 2) and (4, –1) Let (x1,y1) = (5, 2) = (x2, y2) = (4, –1). Write formula for slope. Substitute. Simplify.

  9. – 6 –1– 5 3 = 6– 3 –2 = = y2 –y1 m = x2 – x1 XAMPLE 2 Find a negative slope Find the slope of the line shown. Let (x1,y1) = (3, 5) and (x2, y2) = (6, –1). Write formula for slope. Substitute. Simplify.

  10. – 4– 6 = 5– 0 10 – 2 = – = y2 –y1 5 m = x2 – x1 Find the slope of the line that passes through the points (0, 6) and (5, –4) Let (x1,y1) = (0, 6) and (x2, y2) = (5, –4). Write formula for slope. Substitute. Simplify.

  11. Find the slope of a horizontal and vertical line – 4 1– 5 4– 4 0 = = 3– 3 4– (– 2) 0 0 = = = y2 –y1 y2 –y1 6 m = m = x2 – x1 x2 – x1 Find the slope of the line shown. Let(x1, y1) = (– 2, 4) and (x2,y2) = (4, 4). Write formula for slope. Substitute. Simplify. EXAMPLE 4 Find the slope of the line shown. Let(x1,y1) = (3, 5)and(x2, y2) = (3, 1). Write formula for slope. Substitute. Division by zero is undefined.

  12. y2 –y1 m = x2 – x1 Identifying Slopes Positive slope Undefined Slope of 0 Negative slope

  13. Homework • Text p. 407, #8-10, 12-30 evens

  14. Section 8.4 “Investigating Slope” • With a partner, complete the concept activity “Investigating Slope” on page 403 in your textbook.

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