Lesson 2-8 Flashcard

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph intersects the y-axis, representing the value of y when x is 0.

Front

What does the y-intercept represent in a real-world context, such as a taxi fare?

Back

In a real-world context, the y-intercept represents the initial fee or starting value before any additional charges are applied.

Front

How do you determine the y-intercept from a graph?

Back

To determine the y-intercept from a graph, locate the point where the line crosses the y-axis.

Front

What does a y-intercept of 0 indicate about a relationship?

Back

A y-intercept of 0 indicates that the relationship is proportional, meaning that the output is directly proportional to the input.

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio, meaning that as one quantity increases, the other increases at a consistent rate.

Front

In the context of a scuba diver's ascent, what does the y-intercept represent?

Back

In the context of a scuba diver's ascent, the y-intercept represents the starting depth of the diver below the surface of the water.

Front

What is the difference between the x-intercept and the y-intercept?

Back

The x-intercept is the point where the graph intersects the x-axis (y=0), while the y-intercept is where the graph intersects the y-axis (x=0).

Front

If a graph has a y-intercept of 3, what does this mean?

Back

A y-intercept of 3 means that when x is 0, the value of y is 3, indicating the starting value of the dependent variable.

Front

What is the significance of the initial fee in a taxi fare graph?

Back

The initial fee in a taxi fare graph is significant as it represents the cost incurred before any distance is traveled.

Front

How can one identify an error in graphing the y-intercept?

Back

An error in graphing the y-intercept can be identified if the point plotted does not correspond to the value of y when x is 0.