A quadratic function has roots and which passes through the point . Under what conditions will it intersect with a line of slope Once? twice? Never?
Since it is a quadratic equation, it has the form of a parabola. You know where it intersects the x-axis, and you also know 1 other point, which tells you which way the parabola opens up. From there you can draw a sketch of the graph and then see where it would intersect a line of sloope -4.