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.

Why is it necessary to create three different equations in this problem?

• Because there are three different variables to solve for.

• To make the problem more complex.

• To check the consistency of the solution.

• To eliminate the need for substitution.

What is the value of C after simplifying the equations?

• 1

• 0

• -1

• 2

Which method is preferred for solving the system of equations in this context?

• Graphical method

• Substitution

• Elimination

• Matrix method

How does the teacher suggest handling variables with the same coefficients?

• By using substitution

• By using elimination

• By multiplying them

• By ignoring them

What is the significance of the term '-1^2' in the equations?

• It results in a negative value.

• It results in a positive value.

• It is ignored in the calculations.

• It is used to find the value of B.

What is the final value of A in the solution?

• 4

• -4

• -2

• 2

What is the final equation in standard form?

• Y = -4X^2 - 2X - 0

• Y = -4X^2 + 2X + 0

• Y = -4X^2 - 2X + 0

• Y = 4X^2 - 2X + 0