1. 1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Distance between Two Points. Stage 6 - Year 11 Applied Mathematic (Preliminary Extension 1)

2. 2 3 Units4 Units between (2,3) and (2,6). End of Slide Find the distance vertically y x 1 2 3 4 5 6 1234567 Count along the y-axis. 1 Unit 2 Units or 6 - 2- 2= 4= 4

3. 3 between (5,1) and (5,3). End of Slide Find the distance vertically y 1 2 3 4 5 6 x 1234567 Count along the y-axis. 1 Unit or 4 - 1- 1= 3= 3 2 Units 3 Units

4. 4 4 Units between (2,-1) and (2,3). End of Slide Find the distance vertically y -2 1 2 3 4 x 1234567 Count along the y-axis. 1 Unit 2 Units or 3 - (-1)= 4= 4

5. 5 between (1,4) and (6,4). End of Slide Find the distance horizontally y -2 1 2 3 4 x 1234567 Count along the x-axis. 1 Unit or 6 - 1- 1= 5= 5 2 Units3 Unit4 Unit5 Unit

6. 6 between (-2,2) and (4,2). End of Slide Find the distance horizontally y -2 1 2 3 4 x -3 1234 Count along the x-axis. 1 Unit or 4 - (-2)= 6= 6 2 Units3 Unit4 Unit5 Unit6 Unit

7. 7 (1,1) = ( – ) 2 + ( – ) 2 1 End of Slide Use the distance formula to find y -2 1 2 3 4 x -3 12 34 413 d = (x 2 – x 1 ) 2 + (y 2 – y 1 ) 2 (4,3) = (3) 2 + (2) 2 = 9 + 4= 13≈ 3.6 the distance between (1,1) and (4,3).

8. 8 = ( – ) 2 + ( – ) 2 -2-2 End of Show Use the distance formula to find y -2 1 2 3 4 x -3 12 34 3 -3-34 d = (x 2 – x 1 ) 2 + (y 2 – y 1 ) 2 (-3,-2) (3,4) = (6) 2 + (6) 2 = 36 + 36= 72≈ 8.5 the distance between (-3,-2) and (3,4).