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# Slope of A Line - PowerPoint PPT Presentation

Make a Prediction:. What is the value of the slope of the line?. Slope. Slope of A Line. Amount of Gas Used (gallons). Distance Traveled (miles). Attend to Meaning:. What does the slope represent in this case?.

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## PowerPoint Slideshow about 'Slope of A Line' - trula

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Presentation Transcript

What is the value of the slope of the line?

Slope

Slope of A Line

Amount of Gas Used (gallons)

Distance Traveled (miles)

What does the slope represent in this case?

0.05 gallons per mile refers to the gas consumption efficiency of the particular vehicle

Slope

Slope of A Line

Amount of Gas Used (gallons)

Distance Traveled (miles)

What do the numerator “2” and the denominator “40” represent?

Slope

Slope of A Line

Amount of Gas Used (gallons)

Distance Traveled (miles)

What do the numerator “2” and the denominator “40” represent?

Slope

Slope of A Line

Amount of Gas Used (gallons)

2

3

40

1

60

20

Distance Traveled (miles)

In general, what does slope mean?

Change in values (dependent variable)

Slope

Change in values (independent variable)

Rate of Change of dependent variable with respect to independent variable

Slope of A Line

Amount of Gas Used (gallons)

2

3

40

1

60

20

Distance Traveled (miles)

Slope is essentially a “ratio as a measure”.

Change in values (dependent variable)

Slope

Change in values (independent variable)

Rate of Change of dependent variable with respect to independent variable

Slope of A Line

Amount of Gas Used (gallons)

2

3

40

1

60

20

Distance Traveled (miles)

Slope is a rate—invariant ratio.

Change in values (dependent variable)

Slope

Change in values (independent variable)

Rate of Change of dependent variable with respect to independent variable

Slope of A Line

Amount of Gas Used (gallons)

Distance Traveled (miles)

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?

Slope = ?

Slope of A Line

Distance Traveled (miles)

Amount of Gas Used (gallons)

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?

Slope

Slope of A Line

Distance Traveled (miles)

Amount of Gas Used (gallons)

How are the slopes of these two lines related?

Distance Traveled (miles)

Slope of A Line

Amount of Gas Used (gallons)

Amount of Gas Used (gallons)

Distance Traveled (miles)

How are the slopes of these two lines related?

Distance Traveled (miles)

Slope of A Line

Amount of Gas Used (gallons)

Slopeg-d = 0.05

Sloped-g = 20

One slope is the reciprocal of the other:

Amount of Gas Used (gallons)

Distance Traveled (miles)

What is the value of the product of the 2 slopes?

Distance Traveled (miles)

Slope of A Line

Amount of Gas Used (gallons)

Amount of Gas Used (gallons)

Distance Traveled (miles)

What is the value of the product of the 2 slopes?

Distance Traveled (miles)

Slope of A Line

Amount of Gas Used (gallons)

Amount of Gas Used (gallons)

Distance Traveled (miles)