Question

Find the distance between each pair of points. Answers may be left as square roots.

(7,6) (0,2)

Answer 1

To find the distance between two points in a Cartesian coordinate system, we can use the distance formula:

Distance = √((x₂ - x₁)² + (y₂ - y₁)²)

Let's find the distance between (7, 6) and (0, 2):

Distance = √((0 - 7)² + (2 - 6)²)
= √((-7)² + (-4)²)
= √(49 + 16)
= √65

Therefore, the distance between (7, 6) and (0, 2) is √65.