Question

Find the distance between the two points S(-5, -2) and T(-3, 4).

Answer 1

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.

$d = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} }$

Put all values.

$d = \sqrt{ {( - 3 + 5)}^{2} + {(4 + 2)}^{2} }$

Simplify it.

$d = \sqrt{ {(2)}^{2} + {(6)}^{2} }$

$d = \sqrt{4 + 36}$

$d = \sqrt{40}$

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...