Exploring Graphing Systems of Equations

The video tutorial covers solving systems of equations by graphing. It begins with an introduction to the topic and a review of the slope-intercept form. The teacher demonstrates how to graph systems of equations and find their solutions, providing several examples. Special cases such as no solution and infinite solutions are discussed. The tutorial concludes with a story problem application and a homework assignment for further practice.

What is the slope in the equation y = -2x + 9?

• -2

• -9

• 9

• 2

In the equation y = 2x - 3, where do you start graphing?

• At the origin

• At the x-intercept, which is 2

• At the slope, which is 2

• At the y-intercept, which is -3

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

• 2

• 4

• -2

• 0

What is the solution to the system of equations where the lines meet at (2, -2)?

• x = -2, y = 2

• x = 2, y = -2

• x = -2, y = -2

• x = 2, y = 2

What is the solution to the system of equations where the lines meet at (4, 4)?

• x = 4, y = -4

• x = -4, y = 4

• x = -4, y = -4

• x = 4, y = 4

What is the solution to the system of equations where the lines meet at (0, -3)?

• x = 3, y = 0

• x = 0, y = 3

• x = -3, y = 0

• x = 0, y = -3

If two lines in a system of equations are parallel, what is the solution?

• One solution

• No solution

• Infinite solutions

• Two solutions

What does it mean if two lines in a system of equations are the same?

• Two solutions

• One solution

• Infinite solutions

• No solution

In the real-world problem, what does X represent?

• Total Cost

• Number of Items

• Pumpkin Bread

• Trail Mix

In the real-world problem, what does Y represent?

• Pumpkin Bread

• Trail Mix

• Total Cost

• Number of Items