Students will be able to
- understand that a line can intersect a circle at two points, touch it at one point, or not intersect it at all,
- find how many times a line intersects a circle, given in standard or general form, by using properties of the discriminant or otherwise,
- find the coordinates of the points at which a line intersects a circle, if they exist,
- solve algebraic problems involving the intersection of circles and lines.