Let and Be Two Nonvertical Straight Lines in the Plane

question 80

Essay

Let and be two nonvertical straight lines in the plane with equations and respectively. Find conditions on , , , and so that and do not intersect.

---

Definitions:

Circadian Rhythms

Physical, mental, and behavioral changes that follow a 24-hour cycle, responding primarily to light and darkness in an organism's environment.

Biological Cycles

Natural, rhythmic processes in living organisms that can affect physical and mental states, such as circadian rhythms.

Electroencephalograph

A medical instrument used to measure the electrical activity of the brain, often used in diagnosing neurological conditions.

Electrical Activity

The movement of charged particles, such as ions, which is a fundamental process in neurons and muscle cells, and is measured in various medical and scientific applications.