Question

What is the distance between these points
(1,-2),(9,13)

Answer 1

17 units

Explanation:

calculate the distance d using the distance formula

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

with (x₁, y₁ ) = (1, - 2 ) and (x₂, y₂ ) = (9, 13 )

d =
`√((9-1)^2+(13-(-2))^2)`

=
`√(8^2+(13+2)^2)`

=
`√(64+15^2)`

=
`√(64+225)`

=
`√(289)`

= 17