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 shows a constant rate of change.

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 are constant for equal differences in the x-values.

Front

What does it mean if a relationship is 'not linear'?

Back

A relationship is 'not linear' if it cannot be represented by a straight line on a graph, indicating that the rate of change is not constant.

Front

What is the slope of a linear relationship?

Back

The slope is a measure of the steepness of the line representing the relationship, calculated as the change in y divided by the change in x.

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 zero.

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 traveling at a constant speed.

Front

What is the equation of a linear relationship?

Back

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

Front

What does it mean for a relationship to have a positive slope?

Back

A positive slope means that as the x-value increases, the y-value also increases, indicating a direct relationship.

Front

What does it mean for a relationship to have a negative slope?

Back

A negative slope means that as the x-value increases, the y-value decreases, indicating an inverse relationship.

Front

How can you graph a linear relationship?

Back

To graph a linear relationship, plot points from the table of values on a coordinate plane and connect them with a straight line.