Understanding Linear Functions and Intercepts

The video tutorial explains how to determine the y-intercept of a linear function using a table of values. It begins with an introduction to linear functions and the concept of the y-intercept, followed by a detailed explanation of how to differentiate between x and y intercepts. The tutorial then analyzes a given table of values to identify the intercepts and demonstrates the calculation of the y-intercept. The video emphasizes the constant rate of change in linear functions and provides a visual representation of the graph.

What is the main task described at the beginning of the video?

• Finding the slope of a line

• Identifying the x-intercept of a graph

• Determining the y-intercept of a graph

• Calculating the area under a curve

Where does a line intersect the y-axis?

• At the origin

• At the midpoint

• At the x-intercept

• At the y-intercept

What is true about the x-coordinate at the y-intercept?

• It is always negative

• It is equal to the y-coordinate

• It is equal to zero

• It is always positive

What is the x-intercept of a graph?

• The point where y equals zero

• The point where x equals zero

• The lowest point on the graph

• The highest point on the graph

How does the y-value change when x increases by 1 in a linear function?

• Y increases by 2

• Y decreases by 2

• Y doubles

• Y remains constant

What is the y-value when x equals 0, according to the table?

• 8

• 0

• 2

• 4

What is the rate of change of y with respect to x in this linear function?

• Negative 2

• Positive 2

• Zero

• Positive 4

What happens to y when x increases by 2?

• Y increases by 4

• Y doubles

• Y decreases by 4

• Y remains the same

What is the y-intercept of the graph as concluded in the video?

• 0

• 8

• 2

• 4

How would the graph look if plotted to scale?

• A horizontal line

• A curved line

• A vertical line

• A diagonal line