__Nature of the Roots (Combination of Straight Line and the Curve)__When you have a straight line and a curve, you can solve the equation of the straight line and the curve simultaneously and form a quadratic equation,

*ax*

^{2}+

*b*

*x*+

*c*= 0. The discriminant, ${b}^{2}-4ac$ gives information about the number of points of intersection.