7.4a, 7.7a

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph. It shows how one variable changes in relation to another.

Front

What does the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change between the two variables. It indicates how much the dependent variable changes for a unit change in the independent variable.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It represents the value of the dependent variable when the independent variable is zero.

Front

How do you write an equation for a linear relationship?

Back

An equation for a linear relationship can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the meaning of the variable 'x' in a function?

Back

In a function, 'x' typically represents the independent variable, which is the input value that you can change.

Front

What is the meaning of the variable 'y' in a function?

Back

In a function, 'y' typically represents the dependent variable, which is the output value that depends on the value of 'x'.

Front

How can you determine the total cost from a rental rate?

Back

To determine the total cost, multiply the rental rate per unit of time by the number of units of time rented.

Front

What does a negative slope indicate in a graph?

Back

A negative slope indicates that as one variable increases, the other variable decreases, showing an inverse relationship.

Front

What is the significance of the equation y = -7x - 3 in a real-world context?

Back

This equation represents a situation where a fish is descending at a constant rate of 7 meters per second, starting from a depth of 3 meters below sea level.

Front

How do you interpret the graph of a linear equation?

Back

To interpret the graph of a linear equation, look for the slope and y-intercept, and analyze how the two variables relate to each other.