Question

What I'm doing was correct?

Answer 1

The distance between points R and S is
`√( 29 )` units

Explanation:

Coordinates of point R = (-1, 3)

Coordinates of point S = (4, 1)

Now, by distance formula:

`d(R, S) = \sqrt{ \{4 -( - 1) \}^(2) + {(1 - 3)}^(2) } \\ \\ = \sqrt{ \{4 + 1 \}^(2) + {( - 2)}^(2) } \\ \\ = \sqrt{ \{5 \}^(2) + {( - 2)}^(2) } \\ \\ = √( 25 + 4 ) \\ \\ \implies \huge \orange{d(R, S) = √( 29 ) \: units}`

So, you are correct.