Question

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.

Answer 1

EXPLANATION

Let's see the facts:

Midpoint = (-2,5)

A=(4,7)

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

Then,

`(x+4)/(2)=-2,(y+7)/(2)=5`

Multiplying the frist equation by 2:

`x+4=-2\cdot2`

Subtracting -4 to both sides:

`x=-4-4`

Simplifying:

`x=-8`

Multiplying the second equation by 2:

`y+7=2\cdot5`

Subtracting -7 to both sides:

`y=10-7=\text{ 3}`

The coordinates of the point B are:

B=(-8,3)