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Slope

Slope. Grade 7 Math AF 3.3. California Standards. 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.

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Slope

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  1. Slope Grade 7 Math AF 3.3

  2. California Standards 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. Slope

  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. No Slope 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 = 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. Since the top represents the “rise”, a negative rise would indicate moving “down”.

  14. Slope m = If slope m = 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. Since the bottom represents the “run”, a negative run would indicate moving “across forward or across back”.

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

  17. 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

  18. 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

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

  20. (-3, 2); slope m = Quadrant II y-axis Quadrant I 10 5 -15 -10 -5 5 10 15 x-axis -5 -10 Quadrant III Quadrant IV

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

  22. (3, -2); slope m = Quadrant II y-axis Quadrant I 10 5 -15 -10 -5 5 10 15 x-axis -5 -10 Quadrant III Quadrant IV

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

  24. (-1, -3); slope m = Quadrant II y-axis Quadrant I 10 5 -15 -10 -5 5 10 15 x-axis -5 -10 Quadrant III Quadrant IV

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

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

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