Final answer:
The distance between the point P (4,3) and the origin (0,0) in a two-dimensional Cartesian coordinate system is found to be 5 units using the distance formula derived from the Pythagorean theorem.
Step-by-step explanation:
The distance between two points in a two-dimensional Cartesian coordinate system can be calculated using the distance formula, which is derived from the Pythagorean theorem.
To find the distance between point P (4,3) and the origin (0,0), we apply the formula:
d = √((x2 - x1)² + (y2 - y1)²)
Here, (x1, y1) = (0, 0) and (x2, y2) = (4, 3). Substituting these values in the formula, we get:
d = √((4 - 0)² + (3 - 0)²)
d = √(16 + 9)
d = √25
d = 5
The distance between the points P (4,3) and the origin (0,0) is 5 units.