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Slope!!!. With “Real-Life” Examples. Slope of a Line. The slope of a line is defined as the rate of change of a function or graph. It can also be thought of as the steepness of a line.

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Slope

Slope!!!

With “Real-Life” Examples


Slope of a line
Slope of a Line

  • The slope of a line is defined as the rate of change of a function or graph. It can also be thought of as the steepness of a line.

  • Before we learn how to calculate and graph slope, we need to understand the different types of slopes and how they behave.


Positive slope
Positive Slope

  • A line that is increasing as you move to the RIGHT, has a positive slope.

  • It can be any value as long as it is greater than 0.

  • The larger the number, the steeper the line.


Negative slope
Negative Slope

  • A line that is decreasing as you move to the RIGHT, has a negative slope.

  • It can be any value as long as it is less than 0.

  • The larger (more negative) the number, the steeper the line.


No slope or horizontal slope
No Slope or Horizontal Slope

  • A line that has no slope is a horizontal line.

  • Its slope is equal to 0.

  • Can you think of other examples of things with no slope?


Undefined or vertical slope
Undefined or Vertical Slope

  • A vertical line has what is called an undefined slope.

  • Can you think of other examples of things with an undefined slope?


What type of slope is this
What Type of Slope Is This?

  • Is this a positive or negative slope? How can you tell?

  • What makes this different than the other positive slope we saw?


What type of slope is this1
What Type of Slope Is This?

  • Is this a positive or negative slope? How can you tell?

  • What makes this different than the other negative slope we saw?


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