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 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 the x-values increase, the y-values also increase, 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-values increase, the y-values decrease, meaning the line falls from left to right.

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line where there is no vertical change as the x-values change.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where the x-values do not change, resulting in a division by zero in the slope formula.

Front

If a line rises 3 units for every 5 units it runs, what is the slope?

Back

Front

If a line falls 5 units for every 3 units it runs, what is the slope?

Back

Front

How can you determine the slope from a graph visually?

Back

You can determine the slope by selecting two points on the line, measuring the vertical rise and horizontal run between them, and calculating the ratio of rise to run.

Front

What is the slope of a line that is perfectly horizontal?

Back

The slope of a perfectly horizontal line is 0.