The point M is the midpoint of LN where M(-12, 6) and N (-2,-5). What are the coordinates of point L?

The coordinates of point L are:

(x₁, y₁) = (-22, 17)

Step-by-step explanation:

We know that the Midpoint Formula is given by:

In our case:

M(-12, 6) is the midpoint. Thus,

(x, y)  = (-12, 6)

N(-2, -5) is the second point, Thus,

(x₂, y₂) = (-2,-5)

We have to determine the coordinates of point L.

Let (x₁, y₁)  be the coordinates of point L.

substituting (x, y)  = (-12, 6), (x₂, y₂) = (-2,-5) in the Midpoint Formula

Determining the x₁ coordinate of the point L

Add 2 to both sides

Simplify

Determining the y₁ coordinate of the point L

Add 5 to both sides

Simplify

Therefore, the coordinates of point L are:

(x₁, y₁) = (-22, 17)

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