Lesson 6 Slope and rate of change.notebook
February 03, 2016
Lesson 6 (PH Text 5.1): Slope and Rate of Change
Objective: to find the rate of change/slope of a line from its table or graph, or from the coordinates of two points of the line
Ordered pairs can be numbered: (x2, y2) and (x1, y1) This just identifies them as different points.
Slope of a line ­ is the ratio of the change in y to the change in x between any two points on the line.
Slope – the measure of the steepness of a line
– the ratio of the vertical change to the horizontal change
Slope and rate of change are the same thing. When you calculate
rate of change you are calculating slope.
Constant rate of change means them when each consecutive rate of change is calculated you get the same value.
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Lesson 6 Slope and rate of change.notebook
February 03, 2016
Rate of change example:
The table shows the elevation of a hang glider over time. Is the
rate of change in elevation constant? What does the rate of
change represent?
Time (mins)
Elevation (ft)
1
360
2
325
3
290
4
255
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Lesson 6 Slope and rate of change.notebook
February 03, 2016
A slope will have a predictable “look”.
Positive Slope – Negative Slope –
Increasing line
Zero Slope – decreasing line
Undefined Slope –
vertical line
horizontal line
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Lesson 6 Slope and rate of change.notebook
February 03, 2016
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Lesson 6 Slope and rate of change.notebook
February 03, 2016
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Lesson 6 Slope and rate of change.notebook
February 03, 2016
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Lesson 6 Slope and rate of change.notebook
February 03, 2016
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Lesson 6 Slope and rate of change.notebook
February 03, 2016
Find the slope:
1. a line that contains the points M( 12, 4) and N(6, 2)
2. a Horizontal line that contains points M(0, 2) and N(5, 2)
3. A vertical line that contains the points P(­3, 4) and R(­3, 2).
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