Question

What is the distance between `(-2,1)` and # (–4, 7) #?

Answer 1

`d=2sqrt(10)`
`d=6.32`

Explanation:

The distance formula is `d=sqrt((y_2-y_1)^2 + (x_2-x_1)^2)`

`(-2,1) and (-4,7)`

`x_1 = -2`
`y_1 = 1`
`x_2 = -4`
`y_2 = 7`

`d=sqrt((y_2-y_1)^2 + (x_2-x_1)^2)`
`d=sqrt((7-1)^2 + (-4-(-2))^2)`
`d=sqrt((6)^2 + (-2)^2)`
`d=sqrt(36 + 4)`
`d=sqrt(40)`
`d=2sqrt(10)`
`d=6.32`