Is it Linear?

Front

What is a linear graph?

Back

A linear graph is a graph that represents a linear relationship between two variables, showing a straight line when plotted.

Front

What is a non-linear graph?

Back

A non-linear graph is a graph that represents a relationship between two variables that does not form a straight line, often showing curves or other shapes.

Tags

CCSS.8.F.A.3

Front

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

Back

A linear relationship in a table of values can be identified if the difference between consecutive y-values divided by the difference in x-values is constant.

Tags

CCSS.HSF-LE.A.1B

Front

What does it mean if a graph is not linear?

Back

If a graph is not linear, it means that the relationship between the variables changes in a non-constant way, indicating a more complex relationship.

Tags

CCSS.8.F.A.3

Front

What is the slope of a linear graph?

Back

The slope of a linear graph is the ratio of the change in the y-value to the change in the x-value, indicating the steepness of the line.

Tags

CCSS.8.EE.B.5

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

What is the equation of a linear graph?

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does a horizontal line represent in a graph?

Back

A horizontal line represents a constant value of y, indicating that y does not change as x changes.

Front

What does a vertical line represent in a graph?

Back

A vertical line represents an undefined slope and indicates that x has a constant value, which is not a function.

Front

How can you tell if a graph is linear by looking at its shape?

Back

If the graph forms a straight line, it is linear; if it curves or has bends, it is non-linear.

Tags

CCSS.8.F.A.3