Graphs of Linear Equations and Their Properties

Lesson 14 covers graphs of linear equations, focusing on horizontal and vertical lines. Students are guided through exercises to find solutions and graph these equations, exploring the properties of vertical and horizontal lines. The lesson concludes with theorems summarizing these concepts.

What is the main focus of lesson 14?

• Quadratic equations

• Graphs of linear equations

• Polynomial functions

• Trigonometric identities

In the equation 1x + 0y = 5, what type of line does this represent?

• Horizontal line

• Diagonal line

• Vertical line

• Curved line

What happens to the graph of x = c when c is changed?

• It becomes a horizontal line

• It shifts vertically

• It remains unchanged

• It becomes a diagonal line

What is the result when the coefficient of x is zero in a linear equation?

• A curved line

• A vertical line

• A diagonal line

• A horizontal line

What is the graph of y = c?

• A curved line

• A vertical line

• A horizontal line

• A diagonal line

What does the graph of y = 0 look like?

• A horizontal line through the origin

• A vertical line through the origin

• A diagonal line through the origin

• A curved line through the origin

What is the significance of the theorem for x = c?

• It describes a diagonal line

• It describes a vertical line

• It describes a horizontal line

• It describes a curved line

What is the result of the graph of y = c when c is negative?

• A curved line below the x-axis

• A diagonal line below the x-axis

• A horizontal line below the x-axis

• A vertical line below the x-axis

What is the relationship between the graph of x = c and the y-axis?

• It intersects the y-axis

• It is tangent to the y-axis

• It is perpendicular to the y-axis

• It is parallel to the y-axis

What is the relationship between the graph of y = c and the x-axis?

• It is parallel to the x-axis

• It is tangent to the x-axis

• It is perpendicular to the x-axis

• It intersects the x-axis