Question

Find the distance between the points given.

(-3, 2) and (9, -3)

Answer 1

The difference of -3 to positive 9 is 12. Positive 2 to -3 is 5

Answer 2

`( x_(1), y_(1) )` = (-3, 2)


`( x_(2) , y_(2) )` = (9, -3)

The distance between two points

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

=
`\sqrt{ (9 - (-3) )^(2) + (-3 -2)^(2) }`

=
`\sqrt{ (9 + 3)^(2) + (-3 -2)^(2) }`

=
`\sqrt{ (12)^(2) + (-5)^(2)}`

=
`√(144 + 25)`

=
`√(169)`

= 13

Hence, the distance between the two points is 13.