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Warm Up!!

Warm Up!!. Have the notes from Monday out; Complete these problems in your spiral: Write the equation of the line that passes through the point (3,2) and has a slope of 2 Find the reciprocal of the following numbers: 4. Exploration.

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Warm Up!!

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  1. Warm Up!! • Have the notes from Monday out; • Complete these problems in your spiral: • Write the equation of the line that passes through the point (3,2) and has a slope of 2 • Find the reciprocal of the following numbers: • 4

  2. Exploration

  3. Type the following equations into the calculator and graph: How do the lines compare and contrast?

  4. Type the following equations into the calculator and graph: How do the lines compare and contrast?

  5. What generalizations can we make? Parallel lines have the same slope, different y-intercept.

  6. Type the following equations into the calculator and graph: How do the lines compare and contrast?

  7. What generalizations can we make? All horizontal lines are parallel to each other.

  8. Type the following equations into the calculator and graph: How do the lines compare and contrast?

  9. What generalizations can we make? All vertical lines are parallel to each other.

  10. Exploration

  11. Type the following equations into the calculator and graph: NOTE – 1st you need to hit “ZOOM 5 (SQUARE)” How do the lines compare and contrast?

  12. Type the following equations into the calculator and graph: NOTE – 1st you need to hit “ZOOM 5 (SQUARE)” How do the lines compare and contrast?

  13. What generalizations can we make? Perpendicular lines have the slopes that are opposite reciprocals.

  14. How would the following lines compare? A vertical line and a horizontal line are always perpendicular.

  15. What you must know first: Ex1: Given the slope m = -2 , find the following: a. the slope of a parallel line m = ______ b. the slope of a perpendicular line m = ______ c. the slope of a line neither parallel or perpendicular m = ______

  16. Your Turn Ex2: Given the slope m = 3/4 , find the following: a. the slope of a parallel line m = ______ b. the slope of a perpendicular line m = ______ c. the slope of a line neither parallel or perpendicular m = ______

  17. Ex 3: What is the slope of… a. a line parallel to the line y = 3x + 2 m = b. a line perpendicular to the line y = -11 – 5x m = c. a line perpendicular to the line x = 8 m = d. a line parallel to the line y = -x + 5 m =

  18. Ex 3: What is the slope of… e. a line perpendicular to the line 3x - 2y = 4 m =

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