Question

Find the distance between the points (6, 4) and (10, 7).

Answer 1

5 units

Explanation:

Use the distance formula
`d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2` where
`d` is the distance between points
`(x_1,y_1)` and
`(x_2,y_2)`.

Given that
`(x_1,y_1)\rightarrow(6,4)` and
`(x_2,y_2)\rightarrow(10,7)`, then:

`d=√((y_2-y_1)^2+(x_2-x_1)^2)\\\\d=√((7-4)^2+(10-6)^2)\\\\d=√(3^2+4^2)\\\\d=√(9+16)\\\\d=√(25)\\\\d=5`

This means that the distance between (6,4) and (10,7) is 5 units