Figure 1 6 miles 5,000 ft Glider needs to reach the airport with 500’ altitude to land safely. The airport is 6 miles away, and the glider is at 5,000 ft altitude (above sea level). The airport is at 1,000 ft above sea level. The pilot loses 500’ for every mile traveled. Can he make a safe landing? 1,000 ft

Find Height Y2 by measuring X1, X2, and Y1 Figure 2 Light Source Y2 Object 2 Object 1 Y1 X1 (Shadow) X2 (Shadow) Ground “Rise” Y1 Y2 If both shadows have same slope = = = “Run” X1 X2 Y1 Y2 X2 = Y2 = Y1 X1 X2 X1 Find Height Y2 by measuring X1, X2, and Y1

Figure 3 Y X

Figure 4

Figure 5

Figure 6

Figure 7: Positive Slope Figure 3FIgu Y +4 + “Rise” X -4 +4 + “Run” + “Rise” Positive (+) Slope = = + _______ + “Run” -4

Figure 8: Negative Slope Figure 3FIgu Y +4 + “Run” - “Rise” X -4 +4 + “Rise” Negative (-) Slope = = - _______ + “Run” -4

Figure 9: Example Problems 1 2 3 Y Y Y X X X 4 (2,3) (1,5) 5 (-1,3) (4,2)

Figure 10: Special Cases Figure 3FIgu ∞ ∞ = 0 Y +4 + “Run” + “Rise” X -4 +4 ∞ = ∞ “Rise” Infinite Slope = = “Run” “Rise” zero Slope = = = 0 ∞ -4 “Run”

Figure 11: Practice Problems (Find Slope) 2 3 Y Y Y X X X 4 5 (2,1) (3,5) Y Y 6 7 (-1,3) (2,4) 8 (-3,-1) (4,2) X X 9 (-2,2) (-2,-2) 10 (-1,3) (4,3)

Figure 12: Game Problems (Find Slope) – Note: given one at a time 3 Y Y Y X X X 4 5 (2,3) (4,1) Y Y 6 7 (-1,-1) (2,4) 8 (-1,-1) (-1,5) X X 9 (1,4) (3,2) 10 (1,1) (-4,-2)

Figure 13: Homework Problems (Find Slope) 2 3 Y Y Y X X X 4 5 (0,0) (2,2) Y Y 6 7 (1,1) (2,2) 8 (-1,-1) (4,2) X X 9 (-1,1) (2,4) 10 (1,-1) (3,-1) 11. Explain the difference between positive and negative slope

Figure 14: Quiz Problems (Find Slope) 2 3 Y Y Y X X X 4 5 Y Y 6 (4,4) (-4,-4) 7 (-1,-2) (3,1) 8 (-2,-1) (1,-3) X X 9 (-1,2) (4,2) 10 (0,0) (4,4)