Graphing Vertical and Horizontal Lines

This lesson covers the concepts of vertical and horizontal lines in algebra. It explains how to identify and write equations for these lines, emphasizing that horizontal lines have constant y-coordinates while vertical lines have constant x-coordinates. The lesson includes exercises to practice writing equations and sketching lines, as well as calculating the area of a triangle formed by these lines. The importance of understanding these concepts for future math courses is highlighted.

What is the main focus of this lesson?

• Equations of circles

• Vertical and horizontal lines

• Polynomials

• Quadratic equations

What is a key characteristic of a horizontal line?

• All x-coordinates are the same

• All y-coordinates are the same

• It has a slope of 1

• It passes through the origin

Which of the following is the equation of a horizontal line passing through y = 4?

• y = 4

• x = 4

• x = -4

• y = -4

What do all points on a vertical line share in common?

• The same distance from the origin

• The same slope

• The same x-coordinate

• The same y-coordinate

Which of the following represents a vertical line passing through x = -2?

• y = 2

• x = -2

• x = 2

• y = -2

What is the equation of a vertical line passing through the point (5, -3)?

• y = 5

• x = -3

• y = -3

• x = 5

What is the equation of a horizontal line passing through the point (3, 2)?

• x = 3

• y = 2

• x = 2

• y = 3

Which of the following points lies on the line y = 2?

• (3, 2)

• (2, 3)

• (2, 2)

• (3, 3)

What is the area of a triangle with a base of 4 units and a height of 8 units?

• 16 square units

• 32 square units

• 8 square units

• 24 square units

What is the equation of a line where the y-coordinate never changes?

• y = 5

• x = -2

• y = -2

• x = 5