8.F.2 & 8.F.4

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as an equation, a table, or a graph.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the y-value with respect to the x-value. It indicates how steep the line is.

Front

How do you identify the slope from a table of values?

Back

To find the slope from a table, calculate the change in y divided by the change in x (rise/run) between two points.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What is the equation of a line in slope-intercept form?

Back

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you write an equation from a word problem?

Back

Identify the quantities involved, assign variables, and express the relationship using an equation based on the problem's context.

Front

What does the term 'linear equation' mean?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.

Front

What is the meaning of 'additional cost' in a pricing scenario?

Back

Additional cost refers to any extra charges added to a base price, such as toppings on a pizza.

Front

How can you determine if a function is linear?

Back

A function is linear if it can be represented by a straight line on a graph, meaning it has a constant rate of change.

Front

What is the significance of the coefficients in a linear equation?

Back

Coefficients indicate the slope and y-intercept of the line, affecting its steepness and position on the graph.