Question

Determine the distance between the two points (-2,-3) and (1,1)

Answer 1

We have the formula
`\sqrt{(-2-1)^(2)+(-3-1)^(2)} =√(9+16) =√(25) = 5.`

Answer 2

Let (-2, -3) represent A and (1, 1) represent B.

`d_A_B} =√((X_A - X_B)^2 + (Y_A - Y_B)^2)`

`d_A_B} =√((-2 - 1)^2 + (-3 - 1)^2)`

`d_A_B} =√((-3)^2 + (-4)^2)`

`d_A_B} =√((9 +16)`

`d_A_B} =√((25)`

`d_A_B}` = 5

Answer: 5 units