Question

Find the distance between points m(-4,6) and n(10,-5). round to the nearest tenth if necessary.

Answer 1

Use distance formula;
`d = √((x_1-x_2)^2 + (y_1 - y_2)^2)`

You have
`x_1 = -4`,
`x_2 = 10`,
`y_1 = 6`, and lastly
`y_2 = -5`

Plug in these values;


`d = √((-4-10)^2 + (6 - (-5))^2)`

`d = √((-14)^2 + (6 +5))^2)`

`d = √(14^2 + 11^2)`

`d = √(317)`

`d=17.8044938\ldots`

`d \approx \boxed{17.8}`