Question

Find the distance between the two points rounding to the nearest tenth (if necessary).

(1, -5) and (4, -1)

Answer 1

Understanding:

This can be easily solved by using the distance formula which is

`d=\sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2) }\\`

`d:` distance

`(x_(1),y_(1)):` coordinates of the first point, in our case it is
`(1,-5)`

`(x_(2),y_(2)):` coordinates of the second point,
`(4,-1)`

Solution:

`d=\sqrt{[(4)-(1)]^(2)+[(-1)-(-5)]^2}\\=√((3)^2+(4)^2)\\= √(9+16) \\=√(25)\\= 5`

The distance between the two points is 5.