How to determine if an equation is linear or not In this video lesson, we are going to learn how to determine if an equation is linear or not by giving the definition of a linear equation. Recall: Ordered pairs Give a rule that relates and in the following ordered pairs: a. Answer b. Answer Linear equation in two variables A linear equation in two variables is an equation that can be written in the form where and are real numbers, and not both zero. This means that for an equation to be linear, the following must be satisfied: a. The exponents of x and y must be both 1. b. The variables must not appear in the denominator c. No square roots, cube roots, etc. for the variables Let’s Discuss! Which of the following are linear equations in two variables? 1. Answer Yes 2. Answer No, has an exponent 2. 3. Answer Yes 4. Answer Yes 5. Answer Yes 6. Answer No, appears in the denominator. QUIZ Which of the following are linear equations in two variables? a. Answer No, y has an exponent of 2 b. Answer Yes c. Answer No, y appears in the denominator.