Answer:
The distance from point L to point M is 17
Step-by-step explanation:
Distance Between two Points in the Plane
Given two points A(x1,y1) and B(x2,y2), the distance between them is calculated as follows:
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Point L has coordinates (-10,-9) and point M has coordinates (-2,6).
Calculate the distance between L and M:
[tex]d=\sqrt{(6+9)^2+(-2+10)^2}[/tex]
[tex]d=\sqrt{15^2+8^2}[/tex]
[tex]d=\sqrt{225+64}=\sqrt{289}[/tex]
[tex]\boxed{d=17}[/tex]
The distance from point L to point M is 17
