A3C Key Features of a Linear Function Flashcard 2

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function, indicating how much y changes for a unit change in x.

Front

What is the y-intercept in a linear function?

Back

The y-intercept is the value of y when x is 0, representing the starting point of the function on the y-axis.

Front

How do you write the equation of a linear function from a word problem?

Back

Identify the fixed costs (y-intercept) and the variable costs (slope) based on the context of the problem.

Front

What does a negative slope indicate in a linear function?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

What does a positive slope indicate in a linear function?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship.

Front

In the equation y = 30 + 12.5x, what does 12.5 represent?

Back

12.5 represents the cost per person for the holiday meal.

Front

In the equation y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept, or the starting value of y when x is 0.

Front

What is the significance of the y-intercept in a savings account graph?

Back

The y-intercept represents the initial deposit amount in the savings account.

Front

How can you determine the rate of change from a graph?

Back

The rate of change can be determined by calculating the slope of the line on the graph.