Question

What I'm doing was correct?

Answer 1

Answer:

The distance between points R and S is $\sqrt{ 29 }$ units

Step-by-step explanation:

Coordinates of point R = (-1, 3)

Coordinates of point S = (4, 1)

Now, by distance formula:

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

So, you are correct.