1. Slope
Grade 7 Math AF 3.3

2. Slope Standards California
AF3.3 Graph linear functions, noting that the vertical change (change in y-value) per unit of horizontal change (change in x-value) is always the same and know that the ratio (“rise over run”) is called the slope of a graph.
California
Standards

3. Slopes: Bear Mountain, Big Bear, CA

4. Slope

5. The slope of a line can be defined as positive, negative, no slope, or undefined.
Positive Slope
Negative Slope

6. The slope of a line can be defined as positive, negative, no slope, or undefined.
Undefined Slope

7. Identify the type of slope of the line if any.
No Slope
Negative Slope

8. Identify the type of slope of the line if any.
Positive Slope
Undefined Slope

9. Slope m = The “rise” represents a vertical change on the graph.
In other words, the top number tells you how far to move up or down.
Rise is vertical change:

10. Slope m = The “run” represents a horizontal change on the graph.
In other words, the bottom number tells you how far to move “across or back”.
Run is horizontal change:

11. Slope m = If slope m = This line has a positive slope.
I will move “up” 2 spaces and across 3 spaces
This line has a positive slope.

12. Remember, there are three ways to write a “negative rational number”, negative fraction.

13. With this fraction, the top number is negative
With this fraction, the top number is negative. Since the top represents the “rise”, a negative rise would indicate moving “down”.

14. Slope m = If slope m = This line has a negative slope.
I will move “down” 3 spaces and across 4 spaces
This line has a negative slope.

15. With this fraction, the bottom number is negative
With this fraction, the bottom number is negative. Since the bottom represents the “run”, a negative run would indicate moving “across forward or across back”.

16. Slope m = If slope m = This line has a negative slope.
I will move “up” 3 spaces and “back” 4 spaces
This line has a negative slope.

18. Graph a line with: Plot coordinate (13, -10); slope m = Quadrant II
y-axis
Quadrant I 10
Graph a line with: 5
x-axis
-15
-10 -5 5 10 15
Plot coordinate (13, -10);
slope m = -5
-10
Quadrant III
Quadrant IV

19. Plot coordinate (-12, 8); slope m = Quadrant II y-axis Quadrant I 10 5
x-axis
-15
-10 -5 5 10 15
Plot coordinate (-12, 8);
slope m = -5
-10
Quadrant III
Quadrant IV

20. Show a “line” that is passing through (-3, 2); slope m is
Find two different points on each side of a line.

21. (-3, 2); slope m = Quadrant II y-axis Quadrant I 10 5 -15 -10 -5 5 10
x-axis -5
(-3, 2); slope m =
-10
Quadrant III
Quadrant IV

22. Show a “line” that is passing through (3, -2); slope m is

23. (3, -2); slope m = Quadrant II y-axis Quadrant I 10 5 -15 -10 -5 5 10
x-axis -5
-10
Quadrant III
Quadrant IV

24. Show a “line” that is passing through (-1, -3); slope m is

25. (-1, -3); slope m = Quadrant II y-axis Quadrant I 10 5 -15 -10 -5 5 10
x-axis -5
-10
Quadrant III
Quadrant IV

26. Show a “line” that is passing through (0, 4); slope m is

27. (0, 4); slope m = y-axis Quadrant II Quadrant I 10 5 -15 -10 -5 5 10
x-axis -5
-10
Quadrant III
Quadrant IV