Interpreting Graphs of Linear Functions in Context

Front

What does the x-axis represent in a graph of a linear function?

Back

The x-axis represents the independent variable, often indicating the amount of something, such as 'Amount of Sand (lb)'.

Front

What does the x-intercept represent in the context of a linear function?

Back

The x-intercept represents the value of the independent variable when the dependent variable is zero, such as 'Time Spent Studying'.

Front

How do you calculate earnings based on hours worked in a linear function?

Back

Earnings can be calculated using the formula: Earnings = Rate per hour × Hours worked. For example, if Sally paints for 2 hours at $50 per hour, she makes $100.

Front

What does the slope (m) represent in a linear function?

Back

The slope (m) represents the rate of change of the dependent variable with respect to the independent variable, such as 'The sloth runs 6 feet in 1 minute'.

Front

What does the y-axis represent in a graph of a linear function?

Back

The y-axis represents the dependent variable, which is affected by the independent variable.

Front

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

Back

The y-intercept is the value of the dependent variable when the independent variable is zero.

Front

How can you interpret the slope of a line in a real-world context?

Back

The slope indicates how much the dependent variable changes for each unit increase in the independent variable.

Front

What does a horizontal line indicate in a graph of a linear function?

Back

A horizontal line indicates that the dependent variable does not change as the independent variable changes.

Front

What does a vertical line indicate in a graph of a linear function?

Back

A vertical line indicates that the independent variable does not change, which is not a function.

Front

How do you find the slope between two points on a graph?

Back

The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1).