Find the Slope

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) divided by the change in x (run).

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, determine the rise (vertical change) and run (horizontal change) between them, and then divide rise by run.

Front

What does a positive slope indicate?

Back

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

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Front

What does an undefined slope mean?

Back

An undefined slope occurs in vertical lines where the run is zero, meaning there is no horizontal change.

Front

What does a slope of zero mean?

Back

A slope of zero indicates a horizontal line where the y-value remains constant regardless of the x-value.

Front

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

Back

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

Front

What is the slope of a line that rises 3 units for every 4 units it runs?

Back

The slope is 3/4.

Front

What is the slope of a line that falls 2 units for every 5 units it runs?

Back

The slope is -2/5.

Front

If a line has a slope of 1, what does this mean?

Back

A slope of 1 means that for every 1 unit increase in x, there is a 1 unit increase in y, resulting in a 45-degree angle.