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Understanding Slope.

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Presentation on theme: "Understanding Slope."— Presentation transcript:

1 Understanding Slope

2 Slope is a measure of Steepness.

3 Types of Slope Zero Negative Positive Undefined or No Slope

4 Slope is sometimes referred to as the “rate of change” between 2 points.

5 used to represent slope
The letter “m” is used to represent slope in the linear equation y = mx + b

6 If given 2 points on a line, you may find the slope using the formula m = y2 – y1 x2 – x1

7 The formula may sometimes be written as m =∆y . ∆x ∆ represents CHANGE

8 Find the slope of the line through the points (3,7) and (5, 19). x1 y1
m = 19 – 7 5 – 3 m = 12 2 m = 6

9 (3, 4) and (-6, -2) m = -2 – 4 -6 – 3 m = -6 -9 m = ⅔

10 of a line, you can easily find the slope and y-intercept.
If given an equation of a line, you can easily find the slope and y-intercept.

11 equation and locate the m
Look at the linear equation and locate the m and b in the form y = mx + b. slope y-intercept

12 y = 3x + ½ Find the slope and y-intercept of the following equations.

13 of a line, you can find the
If given the graph of a line, you can find the slope by finding the rise over run.

14 rise = 4 m= rise run run = 5 m= 4/5

15 rise = -4 m= rise run run = -5 m= -4/-5 = 4/5

16 If either the rise OR the run is negative, then the whole slope is negative:

17 The End


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