Slope: Rise over Run

Front

What is the definition of slope?

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

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and there is no vertical change as you move along the line.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as you move from left to right along the line, the line rises, meaning the y-value increases as the x-value increases.

Front

What does a negative slope indicate?

Back

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

Front

What is the formula for calculating slope?

Back

The formula for calculating slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the run (horizontal change) is 0, leading to division by zero.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0 because there is no vertical change as you move along the line.

Front

If a line rises 3 units for every 2 units it runs, what is the slope?

Back

The slope is 3/2.

Front

If a line falls 3 units for every 2 units it runs, what is the slope?

Back

The slope is -3/2.

Front

How do you determine if a slope is positive or negative from a graph?

Back

If the line rises from left to right, the slope is positive. If the line falls from left to right, the slope is negative.