Introduction: The point of intersection of two graphs consists of an $x$ and a $y$-coordinate and can be determined by the solving of an equation.
Definition: A point of intersection of the graph $y(x)$ with the graph of another function $z(x)$ is a point $(a,b)$ where $a$ is a solution of the equation $y(x)=z(x)$ and $b=y(a)(=z(a))$.
Definition: A point of intersection of the graph $y(x)$ with the graph of another function $z(x)$ is a point $(a,b)$ where $a$ is a solution of the equation $y(x)=z(x)$ and $b=y(a)(=z(a))$.