I have coordinate for point A and mid-point M. I want to find an unknown coordinate B from those two points. How to do that?
I know I can do it manually cause it's a line segment but there must be a formula for making it simpler and quicker.
I have coordinate for point A and mid-point M. I want to find an unknown coordinate B from those two points. How to do that?
I know I can do it manually cause it's a line segment but there must be a formula for making it simpler and quicker.
$\displaystyle M=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$
This is the midpoint formula. Note that you have
$\displaystyle \left(\frac{x_1+?}{2},\frac{y_1+?}{2}\right)$
So, all you have to do is insert the info where it must go like this
Let's say that $\displaystyle A=(1,3)$ and $\displaystyle M=(2,4)$
Then to find the x value of the point $\displaystyle B$...
$\displaystyle
\underbrace{\frac{1+?}{2}}_{\text{formula for midpoint}}=\overbrace{2}^{midpoint}
$
Do you see?