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Slope.

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

1 Slope

2 Objectives To learn what slope is
To learn what a line looks like when it has positive, negative, zero or undefined slope To learn how to find the slope of a graph To learn how to find the slope given 2 points To learn how to find the slope of a table

3 What is Slope? Slope is the rate of change of a line (change in y)
(change in x)

4 What does the line look like when…
You have positive slope? You have negative slope? You have zero slope? You have NO slope?

5 Slope Mountain Ski Resort T. Merrill 2005 Positive slope,
+ work Negative slope, - work Zero slope is zero fun! NO slope. Oh No!!!! Slope Mountain Ski Resort T. Merrill 2005

6 Lets Cheer Positive, Negative Zero NO X-Axis Y-Axis Go, Go, Go

7 What Type of Slope is Shown?
Positive Slope Negative Slope Zero Slope No Slope/Undefined

8 Slope of a Graph When slope is positive or negative we need to find the actual value of the slope or rate of change On a graph we find slope using the formula How far up or down it changes How far left or right it changes

9 Slope of a Graph First pick two points on the line
The points need to be where the lines cross so they are integers 2. Then find the rise and run 3. Determine if the slope of the line is positive or negative Rise = 2 Run = 3

10 Slope of a Graph First pick two points on the line
The points need to be where the lines cross so they are integers 2. Then find the rise and run 3. Determine if the slope of the line is positive or negative Rise = 10 Run = 2

11 Slope of a Graphed Line Find the slope of each line below
x y Slopes: Find the slope of each line below 4 4

12 Slope of line through 2 points
To find the slope of a line through 2 given points we use the formula For example, Find the slope of a line that goes through (-3, 5) and (2, 18) -3 5 18 2 X1 y1 X2 y2

13 Given two points on a line, find the slope:
1. (9, 2), (8, -7) X1 y1 X2 y2 2. (-4, 4), (-7, 2) y1 X2 X1 y2 3. (5, -1), (9, -4) X1 y1 y2 X2

14 Given two points on a line, find the slope:
4. (5, 2), (1, 0) X1 y1 X2 y2 5. (3, -3), (3, -1) y1 X2 X1 y2 Undefined, NO slope 6. (-4, -2), (4, -2) X1 y1 y2 X2

15 If it is linear it will be the same no matter which two rows you pick
Slope of a Table In a table we can use the same formula. Pick any two pairs in the table for coordinates Pick any two rows. If it is linear it will be the same no matter which two rows you pick x y -4 -17 1 -2 3 4 8 19 10 25 x1 y1 x2 y2

16 Slope of a Table Find the slope for each table below x y -3 4.25 -1
2.75 2 1 1.25 5 -1.75 x y -8 2 -6 3 -3 4.5 -1 5.5 6

17 Slope of a Table Find the slope for each table below x y -10 17 -5 10
4.4 5 -4 -11 x y -3 -8 -1 1 4

18 Conclusion Slope is: Describe the slope of each of the following
the rate of change of a line Undefined/ No slope Positive slope Negative slope Zero/0 slope

19 Slope Intercept Form y= mx + b

20 Y Y is the value of the Y in the equation

21 “m” is the slope Rise Run

22 X X is the value of X in the equation

23 B “B” is the y-intercept
The value of Y when the line crosses the Y-axis


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