Question

Two points A (-2, 9) and B (4, 8) lie on a line l.Find the distance between points A and B.

Answer 1

`√(37)`

Explanation:

Calculate the distance d using the distance formula

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

with (x₁, y₁ ) = A(- 2, 9) and (x₂, y₂ ) = B(4, 8)

d =
`√((4+2)^2+(8-9)^1)`

=
`√(6^2+(-1)^2)`

=
`√(36+1)`

=
`√(37)` ≈ 6.1 ( to 1 dec. place )