Multiple representations 7.4A, 7.7A

Front

What is a graph?

Back

A visual representation of data that shows the relationship between variables.

Front

What is a table in mathematics?

Back

A systematic arrangement of data in rows and columns, often used to display values of variables.

Front

What does the slope of a line represent?

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable.

Front

What is the y-intercept of a line?

Back

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

Front

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

Back

The equation is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for a table to satisfy an equation?

Back

It means that the values in the table, when substituted into the equation, make the equation true.

Front

What is a linear equation?

Back

An equation that forms a straight line when graphed, typically in the form y = mx + b.

Front

How can you determine if a table represents a linear relationship?

Back

Check if the differences between consecutive y-values are constant for equal differences in x-values.

Front

What is the relationship between a graph and its equation?

Back

The graph visually represents the equation, showing how the variables interact.

Front

What does 'x' represent in an equation?

Back

'x' typically represents the independent variable, which can be changed or controlled.