Question

How do you find the distance between points (-5,2), (4,-2)?

Answer 1

The distance is `sqrt97` or `~~9.85`

Explanation:

The distance between two points is shown by the formula:
`d = sqrt((x_2-x_1)^2 + (y_2-y_1)^2)`

We have the values for the two coordinates, so we can substitute them into the distance formula:
`d = sqrt((-2-2)^2 + (4-(-5))^2)`

And now we simplify:
`d = sqrt((-4)^2 + (9)^2)`

`d = sqrt(16 + 81)`

`d = sqrt(97)`

If you want the exact distance, you can leave it as `sqrt97`, but if you want it in decimal form, it is `~~9.85` (rounded to nearest hundredth's place).

Hope this helps!