Find the distance between the points (1,9) and (7,2).
To find the distance between two points, we can use the distance formula:
distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Using the points (1,9) and (7,2), we can plug in the values into the distance formula:
distance = √[(7 - 1)² + (2 - 9)²]
= √[6² + (-7)²]
= √[36 + 49]
= √85
Therefore, the distance between the points (1,9) and (7,2) is √85.