How to find the equation that goes through three points

The video tutorial explains how to solve a system of equations with three variables by creating three equations. It starts with a discussion on vertex knowledge and introduces the concept of variables. The tutorial then demonstrates how to create and solve equations using substitution and elimination methods. It simplifies the equations and solves the system, finalizing the solution and reviewing key concepts.

What is the significance of knowing the vertex in solving the problem?

Explain the process of creating three different equations from the given variables.

How do you simplify the equations after plugging in the X and Y values?

What methods can be used to solve a system of equations with three variables?

How does the concept of positive and negative coefficients affect the solution process?

Describe the steps taken to find the values of A, B, and C in the equations.

What is the final equation in standard form after determining A, B, and C?