Calculate the slope, of the line represented by the table ...



Part 1

State the form of each function below. If the function has no form, write “none.”

1. [pic] 2. [pic] 3. [pic] 4. [pic]

form: form: form: form:

_________________ _________________ _________________ _________________

5. [pic] 6. [pic] 7. [pic] 8. [pic]

form: form: form: form:

_________________ _________________ _________________ _________________

9. What is the slope of each functions below?

[pic] [pic] [pic] [pic]

slope: ______ slope:_______ slope: _______ slope: ________

10. In each coordinate plane below, draw a line with the indicated slope.

a) slope = 0 b) positive slope c) undefined slope d) negative slope

________15. Which function below is parallel to [pic] ?

a) [pic] b) [pic] c) [pic] d) [pic]

________16. Which function below is perpendicular to [pic] ?

a) [pic] b) [pic] c) [pic] d) [pic]

State a different parallel and a perpendicular line for each function below. .

16. [pic] 18. [pic] 19. [pic] 20. [pic]

parallel: parallel: parallel: parallel:

_______________ _________________ _________________ ________________

perpendicular: perpendicular: perpendicular: perpendicular:

_______________ _________________ _________________ ________________

Answers in random order:

|standard |[pic] |[pic] |slope-intercept |draw horizontal line |

|[pic] |draw a vertical line |standard |parallel = use same |[pic] |

| | | |x-coefficient | |

|point-slope |no form |[pic] |[pic] |draw line with right side |

| | | | |pointing UP |

|Perpendicular = use negative |draw line with right side |point-slope |slope-intercept |no form |

|reciprocal |pointing UP | | | |

|x-coefficient | | | | |

Part 2

Calculate the slope, [pic] of the line represented by the table of values below.

1. 2. 3.

Calculate the slope, [pic] of the line that passes through the given pair of points.

4. [pic] 5. [pic] 6. [pic]

Calculate the slope, [pic] of each line in the graphs below:

7. 8. 9.

10. 11. 12.

13. Function parallel to [pic] , with [pic]–intercept of [pic] is: [pic]

14. Function parallel to [pic] , with [pic]–intercept of [pic] is: [pic]

15. Function perpendicular to [pic] , with [pic]–intercept of [pic] is: [pic]

16. Function perpendicular to [pic] , with [pic]–intercept of [pic] is: [pic]

Find the slope of the two lines in each problem; then state if they are parallel, perpendicular, or neither.

17. [pic] through points [pic] 18. [pic] through points [pic]

[pic] through points [pic] [pic] through points [pic]

Answers to INDEPENDENT PRACTICE in random order

|[pic] |[pic] |[pic] |[pic] |[pic] |[pic] |

|[pic] |[pic] |[pic] |[pic] |[pic] |[pic] |

|[pic] |[pic] |[pic] | |[pic] |[pic] |

-----------------------

|[pic] |7 |10 |13 |16 |

|[pic] |14 |11 |8 |5 |

|[pic] |-43 |-31 |-19 |-7 |

|[pic] |-17 |-23 |-29 |-35 |

|[pic] |2 |1.5 |1 |0.5 |

|[pic] |-3 |-5 |-7 |-9 |

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