I have these two circles, $\left(-6,\ 0.8\right)$ for the blue circle, and $\left(-3.988,\ -8.159\right)$ for the black circle.
Using the formula to find the mid-point of these circles, I got $\left(-4.994,\ -3.6795\right)$.
For my assignment I would have to find the reflection line of these two shapes but I don't know how, even after searching it up on the internet. I could only find tutorials to find the reflected shape after drawing a reflection line.
If someone knows how to help me with this that would be great.
(this is my first post meaning I'm not good at using forums like this, so please don't mind if this post is not the best)
You already found Center Point coordinates $P (xC,yC)$
Let $(x1,y1)=\left(-6,\ 0.8\right)$ and $(x2,y2)=\left(-3.988,\ -8.159\right)$
Slope of centerline is
$$ m=\frac{y2-y1}{x2-x1}$$
Slope of any perpendicular line to the center line is $$-\frac{1}{m} $$
Reflection Line equation
$$ \frac{y-yC}{x-xC} = -\frac{1}{m}$$