The intersection is where a graph or function crosses over (intersects) with another graph or function or the x or y axis.
The point(s) where a graph or function crosses over the x-axis is called the x-intercept(s).
The point(s) where a graph or function crosses over the y-axis is called the y-intercept(s).
Example
The parabola and straight-line graph intersect at the points (-1, 1) and (2, 4).