Solving Systems of Linear Equations by Graphing

The video tutorial explains how to solve systems of linear equations by graphing. It begins with an introduction to the graphing method, known in German as 'graphes farar'. The instructor demonstrates graphing two linear equations, y = 12x + 5 and y = -5x - 1, to find their intersection point, which is the solution to both equations. The process involves plotting the y-intercept and using the slope to draw each line. The solution is verified by substituting the intersection point back into the original equations. A second example is provided to reinforce the method. The video concludes with a summary and a call to action for viewers to engage with the channel.

What is the German term for the graphing method?

• Differenzmethode

• Integrationsmethode

• Khakassia Stefan

• Derivationsmethode

What is the y-intercept of the equation y = 1/2x + 5?

• 1

• 0

• 5

• 1/2

How do you determine the slope from the equation y = 1/2x + 5?

• By finding the coefficient of x

• By finding the constant term

• By looking at the y-intercept

• By setting x to zero

What is the y-intercept of the equation y = -5/2x - 1?

• -1

• 5

• -5/2

• 1

What is the slope of the equation y = -5/2x - 1?

• 5

• -1

• -5/2

• 1/2

What are the coordinates of the intersection point for the equations y = 1/2x + 5 and y = -5/2x - 1?

• (4, -2)

• (-2, 4)

• (-4, 2)

• (2, -4)

What is the y-intercept of the equation y = -2x + 6?

• 6

• -2

• -6

• 2

What is the slope of the equation y = -2x + 6?

• -1/2

• 1/2

• -2

• 2

What are the coordinates of the intersection point for the equations y = -2x + 6 and y = 2/3x - 2?

• (2, -3)

• (-3, 2)

• (0, 3)

• (3, 0)

What is the slope of the equation y = 2/3x - 2?

• -3/2

• 2/3

• -2/3

• 3/2