To find the distance between two points in a Cartesian coordinate system, we can apply the distance formula. The distance
d = √((x2 – x1)2 + (y2 – y1)2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
We have the following points:
(x1, y1) = (2, 3)
(x2, y2) = (4, 5)
Substituting these values into the distance formula gives us:
d = √((4 – 2)2 + (5 – 3)2)
= √(22 + 22)
= √(4 + 4)
= √(8)
= 2√2
Therefore, the distance between the points (2, 3) and (4, 5) is approximately 2.83 units.