Think about all of the ways in which a line and a parabola can intersect. Select all of the number of ways in which a line and a parabola can intersect. o 1 2 3 4 infinitely many

## Step 1<br />A line and a parabola can intersect in three ways. <br /><br />## Step 2<br />The first way is that they do not intersect at all. This happens when the line is parallel to the parabola and does not touch it at any point.<br /><br />## Step 3<br />The second way is that they intersect at one point. This happens when the line is tangent to the parabola. A tangent line touches the parabola at exactly one point.<br /><br />## Step 4<br />The third way is that they intersect at two points. This is the most common scenario. The line intersects the parabola at two distinct points.<br /><br />## Step 5<br />The options "0" and "infinitely many" are not correct. A line cannot intersect a parabola at zero or infinitely many points.