Question

If the endpoints of AB

A(-4,5)
are
and B(2,-5)
what is the length (distance) of AB ?

Answer 1

11.66units

Step-by-step explanation:

Given parameters:

Coordinates of A = (-4,5)

Coordinates of B = (2,-5)

Unknown:

Length of AB = ?

Solution:

To find the distance between two points, use the expression below;

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

x₁ = -4

x₂ = 2

y₁ = 5

y₂ = -5

Input the parameters and solve;

D =
`\sqrt{( 2- (-4))^(2) + ( -5 - 5 )^(2) }`

D = √6² + (-10)² = 11.66