Alright so I'm trying to find which points on a graph are closest to a specific point. The specific point is (4,4)... now we have 8 other random points on the graph, now we have to find which point is closer... here is a graph for a visual representation
I understand you can just look at it and tell which point is closer but I'm looking for more of a formula.
Also, I would like to state that my highest mathematical level is pre-calculus so please bare that in mind when creating an answer (:>)
Euclidean Geometry tels us that the closest length between two point is a line. The fórmula between two point $x=(x_1,x_2)$ and $y=(y_1,y_2)$ on the Cartesian Plane $\mathbb{R}^2$ is $$d(x,y)=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}.$$ You can manually calculate the distance between $(4,4)$ and all the other eight point in the plane and compare which length is the smallest.