Find a fully reduced equation for the set of all points in $\mathbb{R}^2$ (i.e., the $xy$-plane) that are equidistant from the points $A = \left(-3,1\right)$ and $B = \left(5,0\right)$. Recall that a point $P = (x,y)$ is equidistant from $A$ and $B$ if $d(P,A) = d(P,B)$.

help (equations)

On paper, plot a graph of this set of points. In the box below, describe this set of points geometrically. Explain your answer using complete sentences with correct grammar, spelling and punctuation.