Students learn the definition of slope and calculate the slope of lines.
Students also learn to consider the slopes of parallel lines and perpendicular lines.
7. Consider the options: 1) Keep the same slope of his / her path. Not a good choice! 2) Go straight up.
8. Consider the options: 1) Keep the same slope of his / her path. Not a good choice! 2) Go straight up.
9. Consider the options: 1) Keep the same slope of his / her path. Not a good choice! 2) Go straight up. Not possible! This is an airplane, not a helicopter.
11. Fortunately, there is a way to measure a proper “ slope ” to clear the obstacle. We measure the “ change in height ” required and divide that by the “ horizontal change ” required.
12. Fortunately, there is a way to measure a proper “ slope ” to clear the obstacle. We measure the “ change in height ” required and divide that by the “ horizontal change ” required.
13. Fortunately, there is a way to measure a proper “ slope ” to clear the obstacle. We measure the “ change in height ” required and divide that by the “ horizontal change ” required.
14. Fortunately, there is a way to measure a proper “ slope ” to clear the obstacle. We measure the “ change in height ” required and divide that by the “ horizontal change ” required.
15. Fortunately, there is a way to measure a proper “ slope ” to clear the obstacle. We measure the “ change in height ” required and divide that by the “ horizontal change ” required.
16. Fortunately, there is a way to measure a proper “ slope ” to clear the obstacle. We measure the “ change in height ” required and divide that by the “ horizontal change ” required.
17. Fortunately, there is a way to measure a proper “ slope ” to clear the obstacle. We measure the “ change in height ” required and divide that by the “ horizontal change ” required.
20. FINDING THE SLOPE OF A LINE Slope x y The slope m of the non-vertical line passing through the points and is
21. FINDING THE SLOPE OF A LINE Slope x y The slope m of the non-vertical line passing through the points and is
22. FINDING THE SLOPE OF A LINE Slope x y The slope m of the non-vertical line passing through the points and is
23. FINDING THE SLOPE OF A LINE Slope x y The slope m of the non-vertical line passing through the points and is
24. FINDING THE SLOPE OF A LINE Slope x y The slope m of the non-vertical line passing through the points and is
25. The slope m of a non-vertical line is the number of units the line rises or falls for each unit of horizontal change from left to right. Slope y x (1, 1) (3, 6)
26. The slope m of a non-vertical line is the number of units the line rises or falls for each unit of horizontal change from left to right. Slope y x (1, 1) (3, 6)
27. The slope m of a non-vertical line is the number of units the line rises or falls for each unit of horizontal change from left to right. Slope y x (1, 1) (3, 6)
28. The slope m of a non-vertical line is the number of units the line rises or falls for each unit of horizontal change from left to right. rise = 6 - 1 = 5 units Slope y x (1, 1) (3, 6)
29. The slope m of a non-vertical line is the number of units the line rises or falls for each unit of horizontal change from left to right. run = 3 - 1 = 2 units rise = 6 - 1 = 5 units Slope y x (1, 1) (3, 6)
30. The slope m of a non-vertical line is the number of units the line rises or falls for each unit of horizontal change from left to right. run = 3 - 1 = 2 units rise = 6 - 1 = 5 units Slope y x (1, 1) (3, 6)
33. Slope Find the slope of the line. run = 8 - 2 = 6 units rise = 8 - 3 = 5 units y x (2, 3) (8, 8)
34. Slope Find the slope of the line. run = 8 - 2 = 6 units rise = 8 - 3 = 5 units y x (2, 3) (8, 8)
35. Plot the points (-4, 7) and (4, -1) and draw a line through them. Find the slope of the line passing through the points. Slope y x 10 0 -5 -5 5 -5 10 -5 0 5
36. Plot the points (-4, 7) and (4, -1) and draw a line through them. Find the slope of the line passing through the points. Slope y x 10 0 -5 -5 5 -5 10 -5 0 5
37. Plot the points (-4, 7) and (4, -1) and draw a line through them. Find the slope of the line passing through the points. Slope y x 10 0 -5 -5 5 -5 10 -5 0 5
38. Plot the points (-4, 7) and (4, -1) and draw a line through them. Find the slope of the line passing through the points. Slope y x 10 0 -5 -5 5 -5 10 -5 0 5
39. Plot the points (-4, 7) and (4, -1) and draw a line through them. Find the slope of the line passing through the points. Slope y x 10 0 -5 -5 5 -5 10 -5 0 5
40. Plot the points (-4, 7) and (4, -1) and draw a line through them. Find the slope of the line passing through the points. Slope y x 10 0 -5 -5 5 -5 10 -5 0 5 -8 8
41. Plot the points (-4, 7) and (4, -1) and draw a line through them. Find the slope of the line passing through the points. Slope y x 10 0 -5 -5 5 -5 10 -5 0 5 -8 8
42. Plot the points (-4, 7) and (4, -1) and draw a line through them. Find the slope of the line passing through the points. Negative slope: Falls from left to right Slope y x 10 0 -5 -5 5 -5 10 -5 0 5 -8 8
43. Graph the line passing through point (1, 1) with a slope of 2. Slope y x
44. Graph the line passing through point (1, 1) with a slope of 2. 1) Graph the point (1, 1). Slope y x
45. Graph the line passing through point (1, 1) with a slope of 2. 1) Graph the point (1, 1). Slope y x 2) Follow the slope of to locate another point on the line.
46. Graph the line passing through point (1, 1) with a slope of 2. 1) Graph the point (1, 1). Slope y x 2) Follow the slope of to locate another point on the line.
47. Graph the line passing through point (1, 1) with a slope of 2. 1) Graph the point (1, 1). Slope y x 2) Follow the slope of to locate another point on the line.
48. Graph the line passing through point (1, 1) with a slope of 2. 1) Graph the point (1, 1). Slope y x 2) Follow the slope of to locate another point on the line.
49. Graph the line passing through point (1, 1) with a slope of 2. 1) Graph the point (1, 1). 3) Draw the line, connecting the two points. Slope y x 2) Follow the slope of to locate another point on the line.
50. Graph the line passing through point (1, 1) with a slope of 2. 1) Graph the point (1, 1). 3) Draw the line, connecting the two points. Slope y x 2) Follow the slope of to locate another point on the line.
51. y x If the line rises to the right, then the slope is positive. Slope
52. y x If the line rises to the right, then the slope is positive. Slope
53. y x If the line rises to the right, then the slope is positive. Slope y x If the line falls to the right, then the slope is negative.
54. y x If the line rises to the right, then the slope is positive. Slope y x If the line falls to the right, then the slope is negative.
55. Slope y x If the line is horizontal, then the slope is zero.
56. Slope y x If the line is horizontal, then the slope is zero.
57. Slope y x If the line is horizontal, then the slope is zero. y x If the line is vertical, then the slope is undefined.
58. Slope y x If the line is horizontal, then the slope is zero. y x If the line is vertical, then the slope is undefined.
59. Slope In a plane, nonvertical lines _________________ are parallel . y x
60. Slope In a plane, nonvertical lines _________________ are parallel . with the same slope y x
61. Slope In a plane, nonvertical lines _________________ are parallel . with the same slope y x
62. Slope In a plane, nonvertical lines _________________ are parallel . with the same slope y x
63. In a plane, nonvertical lines are perpendicular if and only if their slopes are _________________. Slope y x
64. In a plane, nonvertical lines are perpendicular if and only if their slopes are _________________. negative reciprocal Slope y x
65. In a plane, nonvertical lines are perpendicular if and only if their slopes are _________________. negative reciprocal Slope y x
66. In a plane, nonvertical lines are perpendicular if and only if their slopes are _________________. negative reciprocal Slope y x