Bell Work 12-9-24

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) over the change in x (run).

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal and there is no change in y as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs in a vertical line where x does not change, leading to division by zero in the slope formula.

Front

How do you determine the range of a data set?

Back

The range is calculated by subtracting the smallest value from the largest value in the data set.

Front

If a data set has values 3, 7, 10, and 16, what is the range?

Back

The range is 16 - 3 = 13.

Front

What is the formula for calculating the slope of a line from a graph?

Back

Identify two points on the line, (x1, y1) and (x2, y2), and use the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, growth, or decline in various contexts.