Step-by-step explanation:
Hey there!
The points are; S(-5,-2) and T(-3,4).
Using distance formula to find the distance between two points.
[tex]d = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]
Put all values.
[tex]d = \sqrt{ {( - 3 + 5)}^{2} + {(4 + 2)}^{2} } [/tex]
Simplify it.
[tex]d = \sqrt{ {(2)}^{2} + {(6)}^{2} } [/tex]
[tex]d = \sqrt{4 + 36} [/tex]
[tex]d = \sqrt{40} [/tex]
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...
