How many points of intersection do the line and the parabola have?

MATHEMATICS · Single correct · AoPS · Mathematics · Quadratic Equations - Part 1 · Quadratic Equations - Part 1

Problem

How many points of intersection do the line

y=4-x

and the parabola

y=x^{2}

have? (a) 1 (b) 3 (c) 2 (d) 0