Question

(8, -4) (3,8)
distance

Answer 1

distance = 13

Explanation:

The formula used to calculate the distance between two points given their coordinates is:

`\boxed{\mathrm{distance = √((x_2 - x_1)^2 + (y_2 - y_1)^2)}}`,

where
`(x_1, y_1)` and
`(x_2, y_2)` are the given coordinates.

In this question, we are given the coordinates (8, -4) and (3, 8).

Using these coordinates and the formula above, we can calculate the distance between the points:

`\mathrm{distance = √((3 - 8)^2 + (8- (-4))^2)}`

`= √((-5)^2+(12)^2)`

`= √(25 + 144)`

`= √(169)`

`= \bf 13`

Therefore, the distance between the two points is 13 units.