Understanding Graphs and Linear Equations

The video tutorial guides viewers through using a graph to complete a table of values and derive an equation. It starts by identifying x values and finding corresponding y values on the graph. The tutorial then uses these ordered pairs to fill in a table. It explains how to determine the equation of the line by analyzing the rate of change in y values, identifying the slope, and recognizing the y-intercept. The video concludes by verifying the equation and presenting it in slope-intercept form.

What is the first step in using a graph to complete a table of values?

• Draw a new graph.

• Calculate the y-intercept.

• Locate the x-values on the horizontal axis.

• Identify the slope of the line.

When x equals zero, what is the corresponding y-value on the graph?

• 18

• 22

• 26

• 10

What is the ordered pair for the point where x equals two?

• (2, 18)

• (2, 22)

• (2, 14)

• (2, 10)

How do the y-values change as x increases by one?

• They remain constant.

• They double.

• They decrease by four.

• They increase by four.

What is the slope of the line based on the rate of change?

• 4

• -4

• -1

• 1

What is the y-intercept of the line?

• 26

• 14

• 10

• 18

Which equation represents the line in slope-intercept form?

• y = -4x + 26

• y = 26x - 4

• y = 4x + 26

• y = -26x + 4

What happens to the y-value when x is equal to one?

• It becomes 10.

• It becomes 22.

• It becomes 26.

• It becomes 18.

How is the equation y = 26 - 4x verified using the table?

• By checking if the y-values decrease by four.

• By checking if the x-values remain constant.

• By checking if the y-values increase by four.

• By checking if the x-values double.

What is another way to write the equation y = 26 - 4x?

• y = -26x + 4

• y = 26x - 4

• y = 4x + 26

• y = -4x + 26