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

The distance from point L to point M is 17

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:

`d=√((y_2-y_1)^2+(x_2-x_1)^2)`

Point L has coordinates (-10,-9) and point M has coordinates (-2,6).

Calculate the distance between L and M:

`d=√((6+9)^2+(-2+10)^2)`

`d=√(15^2+8^2)`

`d=√(225+64)=√(289)`

`\boxed{d=17}`

The distance from point L to point M is 17