Question

Item 13 Find the distance between the points C(−6, 5) and D(−3, 1). The distance between the two points is

Answer 1

5 units

Explanation:

Given:-

- The two points C and D are given:

C ( -6 , 5 ) & D ( -3 , 1 )

Find:-

The distance between the two points

Solution:-

- The distance (d) between two arbitrary points ( x1 , y1 ) & ( x2, y2 ) in a cartesian coordinate system is given by the following formula:

`d = √(( x_1 - x_2)^2 + ( y_1 - y_2 )^2)`

Where,

C = ( -6 , 5 ) = ( x1 , y1 )

D = ( -3 , 1 ) = ( x2 , y2 )

- Then we can calculate the distance d between the two given points:

`d = √(( -6 -(-3) )^2 + ( 5 - 1 )^2)\\\\d = √(( -3 )^2 + ( 4 )^2)\\\\d = √(9 + 16)\\\\d = √(25)\\\\d = 5 units`

- The distance between the given points C and D is d = 5 units