Question

What is the distance points for (2,-2) and (0,-9)

Answer 1

The distance between two points (2,-2) and (0,-9) is 7.3 units, which is obtained by graphical method and formula method.

Explanation:

The given is,

Two points are (2,-2) and (0,-9)

Step:1

By graphical method,

For two points (2,-2) and (0,-9)

First point (2,-2)

The values of x=2 and y=-9 noted in the graph

Second point (0,-9)

The values of x=0 and y=-9 noted in the graph

Now join the two points, measure the distance between the two points,

Distance between points are 7.3 units.

( OR )

Step:1

By formula method,

Distance =
`\sqrt{(x_(2)- x_(2)) ^(2)+ (y_(2)-y_(1)) ^(2) }`

Where,

( 2,-2) are (
`x_(1),y_(1)`)

(0,-9) are (
`x_(2),y_(2)`)

From the values,

=
`\sqrt{(0- 2) ^(2)+ (-9+2) ^(2) }`

=
`\sqrt{(- 2) ^(2)+ (-7) ^(2) }`

=
`√(4+49 )`

=
`√(53)`

= 7.280

≅ 7.3

Distance = 7.3

Result:

The distance between two points (2,-2) and (0,-9) is 7.3 units, which is obtained by graphical method and formula method.