Question

What is the distance between the points (2,1) and (14,6) on a coordinate plane?

Answer 1

the distance between the points will be 13

Answer 2

The distance between the points (2,1) and (14,6) on a coordinate plane is 13 units.

Explanation:

The distance between two points is

`D=√((x_2-x_1)^2+(y_2-y_1)^2)`

It is given that the coordinates of two points are (2,1) and (14,6).

Using distance formula, the distance between two points is

`D=√((14-2)^2+(6-1)^2)`

On simplification we get,

`D=√((12)^2+(5)^2)`

`D=√(144+25)`

`D=√(169)`

`D=13`

Therefore the distance between the points (2,1) and (14,6) on a coordinate plane is 13 units.