Slope/Rate of Change Practice 12/16

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Front

What does a negative slope indicate about a graph?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, showing a downward trend.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of -5/3, what does this mean?

Back

This means that for every 3 units the line moves to the right, it moves down 5 units.

Front

What is the rate of change in a linear function?

Back

The rate of change is the same as the slope and represents how much the output (y) changes for a change in the input (x).

Front

How can you determine if a graph has a constant rate of change?

Back

A graph has a constant rate of change if it is a straight line.

Front

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

Back

A non-linear graph does not have a constant rate of change; the slope varies at different points.

Front

If Runner A runs 10 meters in 5 seconds and Runner B runs 15 meters in 5 seconds, who is faster?

Back

Runner B is faster because they cover more distance in the same amount of time.