Question

Find the distance between the two points 4,1 and -3,-2. Show your work​

Answer 1

The distance between two points is √58 or 7.61.

Explanation:

In the question we need to find the distance between two points 4,1 and -3,-2 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 = -3, x₁ = 4, y₂= -2, y₁= 1

`=√((-3-(4))^2 + (-2-(1))^2) \\=√((-3-4)^2 + (-2-1)^2)\\=√((-7)^2 + (-3)^2)\\=√(49 + 9)\\=√(58)\\=7.61`

So, the distance between two points is √58 or 7.61.