Slope from a Graph

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline 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 from a graph?

Back

To calculate the slope from a graph, identify two points on the line, determine the rise (change in y) and run (change in x), and use the formula: Slope = rise/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 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 there is no horizontal change (run) and division by zero is not possible.

Front

If a line rises 4 units and runs 2 units, what is the slope?

Back

Front

If a line falls 3 units and runs 6 units, what is the slope?

Back

Front

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

Back

Front

How do you identify the type of slope from a graph?

Back

To identify the type of slope, observe the direction of the line: if it rises from left to right, it's positive; if it falls, it's negative; if it's horizontal, it's zero; and if it's vertical, it's undefined.