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Slope of A Line Distance Traveled (miles) Amount of Gas Used (gallons) Make a Prediction:What is the value of the slope of the line? Slope.

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Presentation on theme: "Slope of A Line Distance Traveled (miles) Amount of Gas Used (gallons) Make a Prediction:What is the value of the slope of the line? Slope."— Presentation transcript:

1 Slope of A Line Distance Traveled (miles) Amount of Gas Used (gallons) Make a Prediction:What is the value of the slope of the line? Slope

2 Slope of A Line Distance Traveled (miles) Amount of Gas Used (gallons) Attend to Meaning:What does the slope represent in this case? Slope 0.05 gallons per mile refers to the gas consumption efficiency of the particular vehicle

3 Slope of A Line Distance Traveled (miles) Amount of Gas Used (gallons) Attend to Meaning:What do the numerator 2 and the denominator 40 represent? Slope

4 Slope of A Line Distance Traveled (miles) Amount of Gas Used (gallons) Attend to Meaning:What do the numerator 2 and the denominator 40 represent? Slope 60 20 3 1 2 40

5 Slope of A Line Distance Traveled (miles) Amount of Gas Used (gallons) Attend to Meaning:In general, what does slope mean? Slope 60 20 3 1 2 40 Change in values (dependent variable) Change in values (independent variable) Rate of Change of dependent variable with respect to independent variable

6 Slope of A Line True /False Question:Slope is essentially a ratio as a measure. Distance Traveled (miles) Amount of Gas Used (gallons) Slope 60 20 3 1 2 40 Change in values (dependent variable) Change in values (independent variable) Rate of Change of dependent variable with respect to independent variable

7 Slope of A Line True /False Question:Slope is a rateinvariant ratio. Distance Traveled (miles) Amount of Gas Used (gallons) Slope Change in values (dependent variable) Change in values (independent variable) Rate of Change of dependent variable with respect to independent variable

8 Slope of A Line Make a Prediction: If we let the horizontal axis represents the amount of gas and the vertical axis represents the distance, what is the value of the slope of the new line? Amount of Gas Used (gallons) Distance Traveled (miles) Slope = ?

9 Slope of A Line Make a Prediction: If we let the horizontal axis represents the amount of gas and the vertical axis represents the distance, what is the value of the slope of the new line? Amount of Gas Used (gallons) Distance Traveled (miles) Slope

10 Slope of A Line Question: How are the slopes of these two lines related? Amount of Gas Used (gallons) Distance Traveled (miles) Amount of Gas Used (gallons)

11 Slope of A Line Question: How are the slopes of these two lines related? Slope d-g = 20 Amount of Gas Used (gallons) Distance Traveled (miles) Amount of Gas Used (gallons) Slope g-d = 0.05 One slope is the reciprocal of the other:

12 Slope of A Line Amount of Gas Used (gallons) Distance Traveled (miles) Amount of Gas Used (gallons) Make a prediction:What is the value of the product of the 2 slopes?

13 Slope of A Line Amount of Gas Used (gallons) Distance Traveled (miles) Amount of Gas Used (gallons) Make a prediction:What is the value of the product of the 2 slopes?

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