Graphing Linear Equations and Functions

This video tutorial explains how to graph a line using the T table method. The instructor emphasizes the importance of isolating the variable y before graphing and suggests using three points (0, 1, and 2) for accuracy. The process involves substituting these values into the equation to find corresponding y-values, plotting the points on graph paper, and drawing a line through them. The tutorial provides step-by-step guidance for each substitution and plotting, ensuring students can apply this method during tests or homework when other graphing methods are challenging.

What is the primary benefit of using the T Table for graphing?

• It simplifies the calculation of slopes.

• It helps in isolating the variable x.

• It provides a straightforward method for plotting points.

• It eliminates the need for graph paper.

Before using the T Table, what should be done to the equation?

• Isolate the variable x.

• Convert it to slope-intercept form.

• Isolate the variable y.

• Simplify all coefficients.

Which points does the teacher recommend using for graphing a line?

• 0, 2, and 3

• 1, 2, and 3

• 0, 1, and 2

• 0, 1, and 3

What is the value of y when x is 0 in the equation y = -3x - 2?

• -2

• -3

• 0

• 2

What is the first point plotted on the graph?

• (-2, 0)

• (2, 0)

• (0, -2)

• (0, 2)

What is the value of y when x is 1 in the equation y = -3x - 2?

• -3

• 5

• -5

• -1

What is the second point plotted on the graph?

• (1, -5)

• (5, 1)

• (-5, 1)

• (1, 5)

What is the value of y when x is 2 in the equation y = -3x - 2?

• -8

• -4

• -6

• -2

What is the third point plotted on the graph?

• (2, -6)

• (2, -8)

• (6, -2)

• (8, -2)

What should you do if you get stuck on graphing a line during a test?

• Resort to the T Table.

• Use the slope-intercept form.

• Skip the question.

• Ask the teacher for help.