Algebra-1

The line does not intersect the parabola at all, this means that there are 0 solutions to the system because the line and the parabola never meet.

Here's the breakdown:

1.If the line intersects the parabola at two distinct points, there would be 2 solutions.

2.If the line is tangent to the parabola, meaning it touches the parabola at exactly one point, there would be 1 solution.

3.If the line does not intersect the parabola at all, there are 0 solutions.

Review of the given options:

A.(0, 1) and (-1, 1): This suggests two points of intersection, ...