Slope, Linear, Function, and Proportional Review

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Front

What is a non-function?

Back

A non-function is a relation where at least one input has multiple outputs.

Front

What does it mean for a graph to be linear?

Back

A linear graph is a straight line, representing a constant rate of change.

Front

What is a proportional relationship?

Back

A proportional relationship is one where the ratio of the two variables is constant, and the graph passes through the origin.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run.

Front

How do you find the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What does it mean if a graph is non-linear?

Back

A non-linear graph does not form a straight line and represents a variable rate of change.

Front

What is the significance of the origin in a graph?

Back

The origin is the point (0,0) on a graph, and it is crucial for determining proportional relationships.

Front

What is an example of a non-proportional linear function?

Back

An example is y = 2x + 3, which does not pass through the origin.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.