Hey there Ms or Mr could you please help me out with this problem? Just a heads up, this is my assignment not a quiz. My assignment is about distance and midpoint formula.

Hey there Ms or Mr could you please help me out with this problem Just a heads up this is my assignment not a quiz My assignment is about distance and midpoint class=

Respuesta :

EXPLANATION

Let's see the facts:

Midpoint = (-2,5)

A=(4,7)

Let the point of B as B=(x,y)

Then,

[tex]\frac{x+4}{2}=-2,\frac{y+7}{2}=5[/tex]

Multiplying the frist equation by 2:

[tex]x+4=-2\cdot2[/tex]

Subtracting -4 to both sides:

[tex]x=-4-4[/tex]

Simplifying:

[tex]x=-8[/tex]

Multiplying the second equation by 2:

[tex]y+7=2\cdot5[/tex]

Subtracting -7 to both sides:

[tex]y=10-7=\text{ 3}[/tex]

The coordinates of the point B are:

B=(-8,3)