Question

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

Answer 1

Answer:

The coordinates of point L are:

(x₁, y₁) = (-22, 17)

Step-by-step explanation:

We know that the Midpoint Formula is given by:

$\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)$

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

$\left(-12,\:6\right)=\left(\frac{-2+x_1}{2},\:\:\frac{-5+y_1}{2}\right)$

Determining the x₁ coordinate of the point L

$\frac{-2+x_1}{2}=-12$

$-2+x_1=-24$

Add 2 to both sides

$-2+x_1+2=-24+2$

Simplify

$x_1=-22$

Determining the y₁ coordinate of the point L

$\frac{-5+y_1}{2}=6$

$-5+y_1=12$

Add 5 to both sides

$-5+y_1+5=12+5$

Simplify

$y_1=17\:\:\:$

Therefore, the coordinates of point L are:

(x₁, y₁) = (-22, 17)

Answer 2

Answer:

the person up top is correct