Question

Find the distance between the two points in simplest radical form.
(-1,0) and (5, -8)

Answer 1

10

Explanation:

Given coordinates:

(-1,0) and (5, -8)

Unknown:

Distance between the two endpoints = ?

Solution:

(-1,0) and (5, -8)

The equation for solving this problem is shown below;

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

x₁ = -1 y₁ = 0

x₂ = 5 y₂ = -8

Distance =
`\sqrt{[(5-(-1)]^(2) + (-8 - 0)^(2) } }` =
`√(36 + 64)` = 10

The distance between the two points is 10.