Graphing a Line Using a Table of Values

The video tutorial explains how to graph a line using a table of values. It begins by introducing the concept of graphing a line and selecting X values. The tutorial emphasizes the importance of choosing multiple points to ensure accuracy. It then demonstrates how to substitute X values into the equation to find corresponding Y values. After calculating the points, the video shows how to plot them on a coordinate plane and sketch the line. Finally, it concludes by emphasizing the flexibility in selecting X values and the common choices for graphing.

What is the purpose of using a table of values when graphing a line?

• To calculate the area under the line

• To identify points that lie on the line

• To determine the Y-intercept

• To find the slope of the line

Why is it recommended to find at least three points when graphing a line?

• To calculate the slope accurately

• To ensure the line is horizontal

• To verify the points form a straight line

• To make the graph more colorful

If X is -2, what is the corresponding Y value in the equation Y = -2X + 5?

• 9

• 5

• 7

• 3

What is the result of substituting X = 1 into the equation Y = -2X + 5?

• Y = 7

• Y = 5

• Y = 3

• Y = 1

What is the Y value when X is 2 in the equation Y = -2X + 5?

• 3

• 1

• 7

• 5

Which point is the Y-intercept of the line Y = -2X + 5?

• (1, 3)

• (0, 5)

• (2, 1)

• (-1, 7)

How do you plot the point (-2, 9) on a coordinate plane?

• Move left 9 units and up 2 units

• Move left 2 units and up 9 units

• Move right 9 units and up 2 units

• Move right 2 units and up 9 units

What does it indicate if the plotted points do not form a straight line?

• An error was made in calculations

• The points are too close together

• The line is vertical

• The equation is incorrect

What is the significance of the point (0, 5) in the graph of Y = -2X + 5?

• It is the midpoint of the line

• It is the X-intercept

• It is the Y-intercept

• It is the highest point on the line

Why might certain X values be commonly selected when graphing a line?

• They are required by the equation

• They are the only values that work

• They ensure the line is vertical

• They make calculations easier