Intro to Linear Functions

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of the function, indicating how much y changes for a unit change in x.

Front

What is the y-intercept (b) in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b.

Front

How do you identify a horizontal line on a graph?

Back

A horizontal line has a constant y-value and can be represented by an equation like y = k, where k is a constant.

Front

How do you identify a vertical line on a graph?

Back

A vertical line has a constant x-value and can be represented by an equation like x = k, where k is a constant.

Front

What is the significance of a constant rate of change in linear functions?

Back

A constant rate of change means that the relationship between x and y is linear, resulting in a straight line when graphed.

Front

Which graph represents the equation y = 5?

Back

The graph of y = 5 is a horizontal line that crosses the y-axis at 5.

Front

What does it mean for a graph to be linear?

Back

A graph is linear if it forms a straight line, indicating a constant rate of change between the variables.

Front

How can you determine if a graph is linear from a set of graphs?

Back

You can determine if a graph is linear by checking if it forms a straight line without any curves or bends.