Graphing Equations and Intercepts

This video tutorial by Premath teaches how to solve a system of equations using the graphing technique. The instructor demonstrates graphing two equations individually, assigning different colors to each for clarity. The process involves finding x and y intercepts, plotting points, and drawing lines. Finally, the graphs are superimposed to find the intersection point, which is the solution to the system. The video concludes with an assignment for viewers to practice independently.

What is the main topic of the video tutorial?

• Solving a system of equations by graphing

• Graphing linear equations

• Finding the area of a triangle

• Solving quadratic equations

What technique is used to solve the system of equations in the video?

• Matrix method

• Elimination

• Substitution

• Graphing

What is the main goal of the video tutorial?

• To teach algebraic methods

• To solve quadratic equations

• To demonstrate graphing techniques

• To find the area of shapes

What is the first step in the strategy to solve the system of equations?

• Find the determinant

• Use a calculator

• Solve the equations algebraically

• Assign different colors to the equations

What color is assigned to the top equation?

• Green

• Red

• Yellow

• Blue

What is the purpose of assigning colors to the equations?

• To make the video colorful

• To differentiate between the equations

• To highlight the solution

• To show the slope

What is the first equation to be graphed?

• x - y = 4

• y = 2x + 3

• 3x - 2y = 6

• x + y = -8

What is the x-intercept of the first equation?

• (2, 0)

• (0, -3)

• (-3, 0)

• (0, 2)

What is the y-intercept of the first equation?

• (0, -3)

• (2, 0)

• (-3, 0)

• (0, 2)

What is the first step in solving the first equation?

• Solve for y

• Create a t-chart

• Find the slope

• Check the solution