Additive vs. Multiplicative

Front

What is an additive relationship?

Back

An additive relationship is when a constant value is added to a variable, resulting in a linear equation of the form y = x + b.

Front

What is a multiplicative relationship?

Back

A multiplicative relationship is when a variable is multiplied by a constant, resulting in a linear equation of the form y = kx.

Front

What does the equation y = x + 5 represent?

Back

It represents an additive relationship where 5 is added to the value of x.

Front

What does the equation y = 5x represent?

Back

It represents a multiplicative relationship where the value of x is multiplied by 5.

Front

How can you identify an additive relationship in a graph?

Back

In a graph, an additive relationship will show a straight line that does not pass through the origin.

Front

How can you identify a multiplicative relationship in a graph?

Back

In a graph, a multiplicative relationship will show a straight line that passes through the origin.

Front

What are dependent values in a graph?

Back

Dependent values are the output values (y-values) that depend on the input values (x-values).

Front

What is the significance of the y-intercept in an additive equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the constant added to x.

Front

What is the significance of the slope in a multiplicative equation?

Back

The slope indicates how much y changes for a unit change in x, representing the constant multiplier.

Front

What type of relationship is represented by the equation x + 3 = y?

Back

It represents an additive relationship.