Question

Find the distance between the two points (5,-3) and (1,2)

Answer 1

The distance between the points (5,-3) and (1,2) is found by using the distance formula and is approximately 6.40 units.

Step-by-step explanation:

To find the distance between two points in a Cartesian coordinate system, you can use the distance formula derived from Pythagorean theorem. The distance between the points (5,-3) and (1,2) can be calculated as follows:

1. Subtract the x-coordinates of the two points:
   5 - 1 = 4.
2. Subtract the y-coordinates of the two points:
   -3 - 2 = -5.
3. Square both differences:
   4^2 = 16
   and
   (-5)^2 = 25.
4. Add the squared differences:
   16 + 25 = 41.
5. Take the square root of the sum to find the distance:
   \(√41\) or approximately 6.40 units.

The calculated distance is a scalar value that indicates the magnitude of separation between the two points without a directional component.