TEKS 8.4B

Front

What is the definition of slope in a graph?

Back

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

Front

How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

If a tree grows 18 inches in 2 years, what is its growth rate in inches per year?

Back

Growth rate = 18 inches / 2 years = 9 inches per year.

Front

What does a steeper slope indicate about a rate of change?

Back

A steeper slope indicates a greater rate of change.

Front

If a water hose discharges water at a rate of 45 gallons per minute, what is the slope of the graph representing this situation?

Back

The slope represents the rate of 45 gallons per minute.

Front

What is the unit of measurement for slope when dealing with distance over time?

Back

The unit of measurement is typically in distance per time, such as miles per hour or inches per second.

Front

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

Back

The rate of change can be determined by calculating the slope of the line on the graph.

Front

What does it mean if a graph has a horizontal line?

Back

A horizontal line indicates that there is no change in the dependent variable; the rate of change is zero.

Front

What is the formula for calculating the average speed of an object?

Back

Average speed = total distance / total time.

Front

If a student travels 68 miles in 136 minutes, what is their speed in miles per hour?

Back

Speed = 68 miles / (136 minutes / 60 minutes/hour) = 30 miles per hour.