Additive & Multiplicative Relationships

Front

What is an Additive Relationship?

Back

An additive relationship is when a constant is added to a variable, resulting in a linear equation of the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a Multiplicative Relationship?

Back

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

Front

What does it mean if a graph intersects the origin?

Back

If a graph intersects the origin, it means that when x = 0, y = 0. This is characteristic of multiplicative relationships.

Front

How do you write an ordered pair?

Back

An ordered pair is written as (X,Y), where X is the value on the x-axis and Y is the value on the y-axis.

Front

What is the first step to graphing ordered pairs on a coordinate plane?

Back

The first step is to graph the x-coordinate first, followed by the y-coordinate.

Front

What is the difference between positive and negative relationships in graphs?

Back

A positive relationship means that as one variable increases, the other also increases. A negative relationship means that as one variable increases, the other decreases.

Front

What is the slope in a linear equation?

Back

The slope is a measure of how steep a line is, calculated as the change in y divided by the change in x (rise over run).

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What does a linear equation look like?

Back

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

Front

What is a coordinate plane?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis).

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 by the value of b in the equation y = mx + b.