Find Slope from a Table

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 from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) from the table and use the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, showing an upward trend.

Front

What does a negative slope indicate?

Back

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

Front

What does a slope of zero mean?

Back

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

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, meaning that there is no change in x as y changes.

Front

If the slope is -4/1, what does this tell you about the line?

Back

A slope of -4/1 indicates a steep downward trend, meaning for every 1 unit increase in x, y decreases by 4 units.

Front

If the slope is 2, what does this tell you about the line?

Back

A slope of 2 indicates a moderate upward trend, meaning for every 1 unit increase in x, y increases by 2 units.

Front

What is the formula for calculating slope?

Back

The formula for calculating slope is 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 in various contexts, such as speed, cost, or growth.