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