A student plotted three points that belong to the graph of a certain equation. Is this equation linear or nonlinear?
A)Nonlinear
B)Linear

Question

A student plotted three points that belong to the graph of a certain equation. Is this equation linear or nonlinear?
A)Nonlinear 
B)Linear

Quizplus · Accepted Answer

Since the prompt does not give any information about the three plotted points or the equation itself, we cannot determine if the equation is linear or nonlinear. However, we do know that if the equation is linear, any two points on the graph would determine a unique line. Therefore, if the third point does not lie on this line, the equation must be nonlinear.  However, if all three points lie on the same line, then the equation is linear. Since we cannot determine this from the prompt, the best answer is A, indicating that it is uncertain whether the equation is linear or nonlinear.

A Student Plotted Three Points That Belong to the Graph