Question

Find the distance between the two points 5,6 and 0,-6. Show your work​

Answer 1

The distance between two points is √169 or 13.

Explanation:

In the question we need to find the distance between two points 5,6 and 0,-6 given.

Distance between two points can be found using the formula:

`d(P1,P2) = \sqrt{(x_(2)-x_(1))^2 + (y_(2)-y_(1))^2}`

Putting the given points in the formula we get,

x₂ = 0, x₁ = 5, y₂= -6, y₁= 6

`=√((0-(5))^2 + (-6-(6))^2) \\=√((0-5)^2 + (-6-6)^2)\\=√((-5)^2 + (-12)^2)\\=√(25 + 144)\\=√(169)\\=13`

So, the distance between two points is √169 or 13.