Ivy- Identify Linear Relationships

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph. It has a constant rate of change.

Front

What does it mean if a relationship is not linear?

Back

If a relationship is not linear, it means that the relationship between the variables does not form a straight line when graphed. The rate of change is not constant.

Front

How can you identify a linear relationship from a table of values?

Back

A linear relationship can be identified if the differences between the y-values (outputs) divided by the differences between the x-values (inputs) are constant.

Front

What is the slope of a linear relationship?

Back

The slope of a linear relationship is the ratio of the change in the y-value to the change in the x-value, indicating how steep the line is.

Front

What is the y-intercept 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

Give an example of a linear relationship in real life.

Back

An example of a linear relationship is the relationship between distance and time when driving at a constant speed.

Front

What is a non-linear relationship?

Back

A non-linear relationship is one where the change in one variable does not produce a constant change in another variable, often resulting in a curve on a graph.

Front

What is the equation of a linear relationship?

Back

The equation of a linear relationship can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if a set of points forms a linear relationship?

Back

To determine if a set of points forms a linear relationship, plot the points on a graph and see if they lie on a straight line.

Front

What is the difference between positive and negative linear relationships?

Back

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