6th Honors Unit 4 Test Review

Front

What is the equation that represents a linear relationship between the independent variable (x) and dependent variable (y)?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

What is a dependent variable?

Back

A dependent variable is the variable that depends on the independent variable; it is what you measure in an experiment.

Front

What is an independent variable?

Back

An independent variable is the variable that is changed or controlled in a scientific experiment to test its effects on the dependent variable.

Front

How do you identify the dependent quantities from a list?

Back

Dependent quantities are typically the outputs of a function, often represented as y-values in a table.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

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

Back

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

Front

If y = 3x, what is the value of y when x = 4?

Back

y = 3(4) = 12.

Front

What is the significance of the point (0, b) in a linear equation?

Back

The point (0, b) represents the y-intercept of the line.

Front

How can you determine the equation of a line from a graph?

Back

Identify two points on the line, calculate the slope (rise/run), and use the slope-intercept form y = mx + b.