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Tues, 11/8 SWBAT…compute slope Agenda 1. WU (15 min) 2. Notes on slope (30 min) Warm-Up: 1. Do HW #4 – problems #1 – 4 (interpreting x-and y-intercepts)

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Presentation on theme: "Tues, 11/8 SWBAT…compute slope Agenda 1. WU (15 min) 2. Notes on slope (30 min) Warm-Up: 1. Do HW #4 – problems #1 – 4 (interpreting x-and y-intercepts)"— Presentation transcript:

1 Tues, 11/8 SWBAT…compute slope Agenda 1. WU (15 min) 2. Notes on slope (30 min) Warm-Up: 1. Do HW #4 – problems #1 – 4 (interpreting x-and y-intercepts) HW #5: Slopes of lines (front & back)

2 Swimming Pool x-int: (14, 0): After 14 hours, the water has a volume of 0 gallons, or the pool is completely drained. y-int: (0, 10,080): The pool contained 10,080 gallons of water at time 0, or before it started to drain.

3 Ewa x-int: (8, 0): It took Ewa 8 minutes to get home. y-int: (0, 4): Ewa was initially 4 miles from home.

4 Temperature x-int: (2, 0): After 2 minutes, the temperature is 0 degrees F. y-int: (0, -3): At time 0, the temperature is -3 degrees F.

5 Scuba Diver x-int: (12, 0): After 12 seconds the scuba diver is at a depth of 0 or at the surface. y-int: (0, -24): At time 0, the scuba diver is at a depth of -24 meters, or 24 meters below sea level.

6 How can we write 7% as a fraction?

7 7% as a fraction?? Remember than any percent is a part of 100.

8 The grade or incline of a road is the same as slope Here is the picture: 7 feet 100 feet

9 Slope of a line (m) To find the slope, use the formula 4 4 (elevacion) (desplazamiento)

10 Slope of a line (m) To find the slope, use the formula 4 4

11 Why do we use m for slope? Possibly because m comes from the French word “monter”, which means to climb

12 Slope of a line (m) Is the slope positive or negative? Answer: Positive, read from left to right

13 Slope of a line (m) Is the slope positive or negative? Answer: Negative, read from left to right

14 “Official” Definition of Slope Slope is the change in the vertical distance (rise) over the change in the horizontal distance (run) Pendiente: Razon del cambio en la coordenada y (elevacion) al cambio correspondiente en la coordenada x (desplazamiento) a medida que uno se mueve de un punto a otra en una recta.

15 Find the slope of the line that passes through (1, 0) and (-1, -1). Question (x 1, y 1 ) (x 2, y 2 ) (To see the slope visually… Plot these points. Connect the line.

16 1 2 m  What the graph looks like

17 What is the slope of this line? xy

18 Horizontal lines have a slope of ___ Vertical lines have a slope of ___ HorizontalVertical m = 0 m = undefined Algebraically prove that the slope of a vertical line is undefined.

19 Directions: Find the value of r so the line that passes through each pair of points has the given slope. (12, 10), (-2, r) m = -4


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