Exploring Graphing Systems of Equations

The video tutorial covers graphing systems of linear equations on a coordinate grid. It begins with an introduction to the concept of systems of equations, followed by detailed steps to graph individual equations. The tutorial demonstrates how to find the intersection point of two lines, which represents the solution set. Additional examples are provided to reinforce the learning, and the session concludes with practice problems for students to solve independently.

What does the term 'systems of equations' refer to?

• A single linear equation

• Equations that are not linear

• Two or more equations graphed on the same grid

• Equations with no solutions

What is the slope (m) and y-intercept (b) of the first line in the first system of equations?

• m = 3/2, b = 4

• m = -5/3, b = -1

• m = 1/2, b = -3

• m = 5/2, b = 1

Where do the lines of the first system of equations intersect?

• (3, -4)

• (-3, 4)

• (2, 4)

• (-2, -4)

What is the slope (m) and y-intercept (b) of the first line in the second system of equations?

• m = 1/2, b = -3

• m = -5/3, b = -1

• m = -1/3, b = 3

• m = 3/2, b = 4

Where do the lines of the second system of equations intersect?

• (-2, -4)

• (-3, 4)

• (1, -1)

• (1, 3)

What is the slope (m) and y-intercept (b) of the first line in the third system of equations?

• m = -3, b = 2

• m = 1/2, b = -3

• m = -1/3, b = 3

• m = 3/2, b = 4

Where do the lines of the third system of equations intersect?

• (-3, 4)

• (1, -1)

• (1, 3)

• (-2, -4)

What is the slope (m) and y-intercept (b) of the first line in the fourth system of equations?

• m = 3/2, b = 4

• m = -1, b = 4

• m = 1/2, b = -3

• m = -1/3, b = 3

Where do the lines of the fourth system of equations intersect?

• (-2, -4)

• (1, -1)

• (1, 3)

• (-3, 4)

What is the solution set for the fifth system of equations?

• (-2, -4)

• (-3, 4)

• (-4, -2)

• (1, 3)