Question

Point a is at (-7,-7) and m is at (-6,-1) what are the coordinates of point b

Answer 1

Answer:

The coordinates of point b are (-5,5).

Step-by-step explanation:

Given:

Point a is at (-7,-7) and m is at (-6,-1).

So, to find the coordinates of point b.

Let a (-7,-7) be $(x_{1},y_{1})$, m (-6,-1) and b $(x_{2} ,y_{2})$.

Now, putting the formula to get the coordinates:

$m=\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2}$

⇒$(-6,-1)=\frac{-7+x_{2}}{2} , \frac{-7+y_{2}}{2}$

So, here we will make two equations to find the value of $x_{2} andy_{2}$:

$-6=\frac{-7+x_{2}}{2}$

multiplying both sides by 2

⇒$-12=-7+x_{2}$

⇒$-5=x_{2}$

And, now same method for getting the value of $y_{2}$.

$-1=\frac{-7+y_{2}}{2}$

multiplying both sides by 2

⇒$-2=-7+y_{2}$

⇒$5=y_{2}$.

The value of $(x_{2} ,y_{2})$ = $(-5,5)$.

Therefore, the coordinates of point b are (-5,5).