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

User Victor K
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Final answer:

The distance between the points (-1,3) and (5,1) is calculated using the distance formula, which is √((x2 - x1)^² + (y2 - y1)^²), resulting in approximately 6.32 units.

Step-by-step explanation:

To find the distance between two points on the Cartesian plane, we use the distance formula, which is derived from the Pythagorean theorem. The formula is:

d = √((x2 - x1)^² + (y2 - y1)^²)

For the points (-1, 3) and (5, 1), we substitute the coordinates into the formula:

d = √((5 - (-1))^² + (1 - 3)^²)

d = √((6)^² + (-2)^²)

d = √(36 + 4)

d = √40

d ≈ 6.32 units

The distance between the points (-1,3) and (5,1) is approximately 6.32 units.

User Irvin Dominin
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