Graphing a Line Using a Table of Values

The video tutorial explains how to graph the line Y = 2/3X - 4 using a table of values. It emphasizes selecting X values that are multiples of the denominator to avoid fractions, making it easier to plot points. The tutorial demonstrates substituting these X values into the equation to find corresponding Y values, which are then plotted to form a straight line. The process is verified by ensuring the points align on the graph, confirming the accuracy of the work.

What is the first step in graphing the line y = 2/3x - 4 using a table of values?

• Select y values and find corresponding x values

• Select x values and find corresponding y values

• Plot random points on the graph

• Use a calculator to find the line

Why is it beneficial to select x values that are multiples of the denominator in the equation y = 2/3x - 4?

• To make the graph look better

• To avoid fractional y values

• To ensure y values are fractions

• To make calculations more complex

What is the y-coordinate when x = 0 in the equation y = 2/3x - 4?

• 0

• 4

• -4

• 2

What point is plotted on the graph when x = 3 for the equation y = 2/3x - 4?

• (3, 2)

• (3, -2)

• (3, 0)

• (3, -4)

What is the y-coordinate when x = 6 in the equation y = 2/3x - 4?

• 2

• 0

• -2

• -4

What is the y-coordinate when x = -3 in the equation y = 2/3x - 4?

• -4

• -2

• 0

• -6

What point is plotted on the graph when x = -6 for the equation y = 2/3x - 4?

• (-6, -4)

• (-6, 0)

• (-6, -8)

• (-6, -6)

What do the plotted points form when connected on the graph?

• A square

• A single line

• A triangle

• A circle

Why did the instructor emphasize selecting x values that are multiples of the denominator?

• To avoid fractional coordinates

• To make the graph easier to erase

• To make the graph colorful

• To ensure the graph is symmetrical

If the equation was y = 2/5x - 4, what x values should be selected to avoid fractional y values?

• Multiples of 2

• Multiples of 3

• Multiples of 4

• Multiples of 5