Slope from a Graph

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

How do you calculate the slope using rise/run?

Back

To calculate the slope, use the formula: Slope (m) = Rise / Run, where 'rise' is the change in the y-coordinates and 'run' is the change in the x-coordinates between two points.

Front

What does a positive slope indicate about a line?

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no vertical change (rise) regardless of the horizontal change (run).

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the run is 0 and division by zero is not possible.

Front

If a line rises 3 units and runs 4 units, what is the slope?

Back

Front

If a line falls 2 units and runs 5 units, what is the slope?

Back

Front

How can you identify the slope from a graph visually?

Back

To identify the slope visually, select two points on the line, count the vertical rise and horizontal run between them, and use the rise/run formula.

Front

What is the slope of a line that goes through the points (1, 2) and (3, 6)?

Back