Rate of Change of Linear Functions Warmup 3

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is the ratio of the change in the y-values to the change in the x-values, often represented as the slope (m) of the line.

Front

How do you calculate the slope of a line?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive slope indicate about a linear function?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, showing a direct relationship.

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, showing an inverse relationship.

Front

What is the slope of a line that rises 3 units for every 2 units it runs?

Back

The slope is 3/2.

Front

What is the slope of a line that falls 4 units for every 1 unit it runs?

Back

The slope is -4.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal, indicating that the y-value does not change as the x-value changes.

Front

If a line has an undefined slope, what does that mean?

Back

An undefined slope means the line is vertical, indicating that the x-value does not change as the y-value changes.

Front

What is the formula for the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you find the rate of change from a graph?

Back

To find the rate of change from a graph, select two points on the line, determine their coordinates, and use the slope formula.