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Distance betweenDistance betweenTwo Points.Two Points.Stage 6 - Year 11Stage 6 - Year 11

Applied Mathematic(Preliminary Extension 1)

2

3 Units4 Units

between (2,3) and (2,6).

End ofSlide

Find the distance vertically

y

x

1

2

3

4

5

6

1 2 3 4 5 6 7

Count along they-axis.

1 Unit2 Unitsor

6 - 2

=

4

3

between (5,1) and (5,3).

End ofSlide

Find the distance vertically

y

1

2

3

4

5

6

x1 2 3 4 5 6 7

Count along they-axis.

1 Unitor

4 - 1

=

3

2 Units3 Units

4

3 Units4 Units

between (2,-1) and (2,3).

End ofSlide

Find the distance vertically

y

-1

-2

1

2

3

4

x1 2 3 4 5 6 7

Count along they-axis.

1 Unit2 Unitsor

3 - (-1)

=

4

5

between (1,4) and (6,4).

End ofSlide

Find the distance horizontally

y

-1

-2

1

2

3

4

x1 2 3 4 5 6 7

Count along thex-axis.

1 Unitor

6 - 1

=

5

2 Units3 Unit4 Unit5 Unit

6

between (-2,2) and (4,2).

End ofSlide

Find the distance horizontally

y

-2

1

2

3

4

x-2 -1-3 1 2 3 4

Count along thex-axis.

1 Unitor

4 - (-2)

=

6

2 Units3 Unit4 Unit5 Unit6 Unit

-1

7

(1,1)

= ( – )2 + ( – )21

End ofSlide

Use the distance formula to find

y

-2

1

2

3

4

x-2 -1-3 1 2 3 4-1

4 1 3

d = (x2 – x1)2

+ (y2 – y1)2

(4,3)

= (3)2 + (2)2

= 9 + 4 = 13≈ 3.6

the distance between (1,1) and (4,3).

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= ( – )2 + ( – )2-2

End ofShow

Use the distance formula to find

y

-2

1

2

3

4

x-2 -1-3 1 2 3 4-1

3 -3 4

d = (x2 – x1)2

+ (y2 – y1)2

(-3,-2)

(3,4)

= (6)2 + (6)2

= 36 + 36= 72≈ 8.5

the distance between (-3,-2) and (3,4).