Graphing Linear Equations and Lines

This video tutorial by Mr. Holcomb covers Lesson 14 on graphing linear equations, focusing on horizontal and vertical lines. It includes exercises to find solutions for equations like 1x + 2y = 5 and x = 3, demonstrating how to graph these equations using a t-chart and GeoGebra. The tutorial explains the differences between equations with coefficients of zero and their effects on graph orientation, emphasizing the concepts of vertical and horizontal lines.

What is the first step in finding solutions for the equation 1x + 2y = 5?

• Use a calculator to find the solutions.

• Directly plot the equation on a graph.

• Set up a t-chart and choose values for y.

• Set up a t-chart and choose values for x.

What type of line is formed by the equation 1x + 0y = 5?

• Horizontal line

• No line

• Diagonal line

• Vertical line

How does the graph of x = -2 differ from x = 3?

• x = -2 is a horizontal line, x = 3 is a vertical line.

• Both are horizontal lines.

• Both are vertical lines but at different x-values.

• x = -2 is a vertical line, x = 3 is a horizontal line.

What is the result when graphing the equation x = 0?

• No line is formed

• A diagonal line

• A vertical line on the y-axis

• A horizontal line on the x-axis

In the equation 2x + 1y = 2, which variable should you choose values for first?

• Choose values for y

• Choose values for x

• Choose values for both x and y simultaneously

• Do not choose values, plot directly

What happens to the graph when the x-coefficient is zero in an equation?

• The graph disappears.

• The graph becomes a vertical line.

• The graph becomes a horizontal line.

• The graph becomes a diagonal line.

What type of line is formed by the equation y = -2?

• No line

• Vertical line

• Horizontal line

• Diagonal line

How does the graph of y = 3 differ from y = 0?

• y = 3 is a horizontal line, y = 0 is a vertical line.

• y = 3 is a vertical line, y = 0 is a horizontal line.

• Both are vertical lines.

• Both are horizontal lines but at different y-values.

What is the significance of the graph of y = 0?

• It forms no line.

• It is a diagonal line.

• It is a horizontal line on the x-axis.

• It is a vertical line on the y-axis.

What does the graph of y = 3 indicate about the y-values?

• All y-values are 3.

• All y-values are 0.

• All y-values are positive.

• All y-values are negative.