Question

Find ST if S(-3, 10) and T(-2, 3)

Answer 1

We have the following points and their coordinates:

`\begin{gathered} S(-3,10), \\ T(-2,3). \end{gathered}`

We must compute the distance ST between them.

The distance ST between the two points is given by:

`ST=\sqrt[]{(x_S-x_T)^2+(y_S-y_T)^2_{}},`

where (xS,yS) are the coordinates of the point S and (xT,yT) are the coordinates of the point T.

Replacing the coordinates of the points in the formula above, we find that:

`\begin{gathered} ST=\sqrt[]{(-3_{}-(-2)_{})^2+(10_{}-3_{})^2_{}}, \\ ST=\sqrt[]{1^2+7^2}, \\ ST=\sqrt[]{50}\text{.} \end{gathered}`

Answer: ST = √50