Skip to main content
SWStudyWalks Search

ACT Preparation / Unit 9   ACT 0833 short lesson, about 20 seconds

A Line Meets a Curve

Captions available

The idea

A line can meet a parabola or a circle in zero, one or two points. Substituting the line into the curve's equation gives a quadratic, whose solutions count the intersections.

In practice

y = x and y = x² meet where x² = x: at (0, 0) and (1, 1).

Where people slip

Find both coordinates: each x found gives its own point.

Your place on the trail

Every lesson rests on earlier ones and opens later ones. Tap any to jump.

Unlocks

  • Nothing yet depends on this.

Something wrong in this lesson? Flag it  ·  Sources for ACT Preparation