Question

Find the distance from point L to point M, if the point L has coordinates (-10,-9)

and the point M has coordinates (-2,6).

Answer 1

17units

Step-by-step explanation:

Given parameters:

Coordinates of the endpoints = L (-10, -9) and M(-2, 6)

Unknown:

The distance between point L and M = ?

Solution:

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

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

x₁ = -10

y₁ = -9

x₂ = -2

y₂ = 6

Insert the parameters and solve;

D =
`​​\sqrt{( 6- (-9))^(2) + ( -2 - (-10) )^(2)    }` =
`\sqrt{15^(2) + 8^(2) }`

D = 17units

The distance between the two points is 17units