Multiple Representations of Linear Functions

Front

What does the y-intercept represent in a linear function?

Back

The y-intercept is the value of y when x = 0. It represents the initial value or starting point of the function.

Front

What is the slope of a linear function?

Back

The slope is the rate of change of y with respect to x. It indicates how much y increases or decreases for a unit increase in x.

Front

What does the slope represent in a real-world context?

Back

In a real-world context, the slope can represent a rate, such as cost per unit or speed.

Front

How do you write the equation of a linear function in slope-intercept form?

Back

Front

What is the equation for Clare's mobile pet grooming service?

Back

Front

What does the y-intercept of Clare's equation represent?

Back

The y-intercept (20) represents the initial charge for the grooming service before any hours are added.

Front

How can you determine the slope from a graph?

Back

The slope can be determined by selecting two points on the line and using the formula: slope = (change in y) / (change in x).

Front

What does a positive slope indicate about a linear function?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is the significance of the x-intercept in a linear function?

Back

The x-intercept is the value of x when y = 0. It represents the point where the line crosses the x-axis.