NC.8.F.2 - Comparing Linear Functions

Front

What is a linear function?

Back

Front

What does the slope of a linear function represent?

Back

The slope of a linear function represents the rate of change of the function. It indicates how much the y-value changes for a one-unit increase in the x-value.

Front

How do you find the y-intercept of a linear equation?

Back

Front

What is the difference between positive and negative slopes?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant. A negative slope indicates that as x increases, y decreases, resulting in a downward slant.

Front

How can you determine if one linear function has a steeper slope than another?

Back

Compare the absolute values of the slopes. The function with the larger absolute value of the slope has a steeper slope.

Front

What is the x-intercept of a linear function?

Back

Front

How do you compare the rates of change of two linear functions?

Back

To compare the rates of change, look at the slopes of the functions. The function with the larger slope has a greater rate of change.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept indicates the value of y when x is zero. It represents the starting point of the function on the y-axis.

Front

Back

In this equation, the slope is 4, meaning for every 1 unit increase in x, y increases by 4 units. The y-intercept is 5, meaning the line crosses the y-axis at (0, 5).

Front

What does it mean if two linear functions have the same slope?

Back

If two linear functions have the same slope, they are parallel and will never intersect, indicating they have the same rate of change.