Question

Find the distance between the pair of points (2,9) and (3,8).

Answer 1

`√(2)` units

Explanation:

To find the distance between a pair of points, use the distance formula,
`d = √((x_2-x_1)^2+(y_2-y_1)^2)`. Substitute the x and y values of (2,9) and (3,8) into the formula and simplify:

`d = √((8-9)^2+(3-2)^2) \\d = √((-1)^2+(1)^2) \\d = √(1+1) \\d= √(2)`

So, the distance is
`√(2)` units.