Explanation:
Hey there!
The points are; S(-5,-2) and T(-3,4).
Using distance formula to find the distance between two points.
![d = \sqrt{( {x2 - x1)}^(2) + ( {y2 - y1)}^(2) }](https://img.qammunity.org/2021/formulas/mathematics/college/yavg4mx3e5br11brqvb6ic0oa3gqrojpgu.png)
Put all values.
![d = \sqrt{ {( - 3 + 5)}^(2) + {(4 + 2)}^(2) }](https://img.qammunity.org/2021/formulas/mathematics/college/df0tlt1w90bo1c01m3n8k2fq6exer160kx.png)
Simplify it.
![d = \sqrt{ {(2)}^(2) + {(6)}^(2) }](https://img.qammunity.org/2021/formulas/mathematics/college/kt3bu1fwe6fi8308hkpzw9ge2sg59bkjcw.png)
![d = √(4 + 36)](https://img.qammunity.org/2021/formulas/mathematics/college/85pnanoeoxz1sbhdymlvzpf6sywvxrma7f.png)
![d = √(40)](https://img.qammunity.org/2021/formulas/mathematics/college/2n61tqld4297sfopuh0qm8nobsk59u54rc.png)
Therefore the distance between two points is root 40 units Or 6.324 units.
Or, you can write as 6 units after rounding off.
Hope it helps...