Respuesta :

Answer:

17units

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 = [tex]​​\sqrt{( y_{2} - y_{1} )^{2} + ( x_{2} - x_{1} )^{2}    }[/tex]

x₁  = -10

y₁  = -9

x₂  = -2

y₂  = 6

Insert the parameters and solve;

    D = [tex]​​\sqrt{( 6- (-9))^{2} + ( -2 - (-10) )^{2}    }[/tex] = [tex]\sqrt{15^{2} + 8^{2} }[/tex]

  D =  17units

The distance between the two points is 17units