rate of change and slope

Front

What is the definition of slope?

Back

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

Front

What is the formula for calculating slope?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

Find the slope of the line that passes through the points (2, 4) and (6, 12).

Back

2

Front

Find the slope of the line that passes through the points (2, 7) and (5, 8).

Back

1/3

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is the same as the slope of the line.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

Front

What is the significance of a slope of zero?

Back

A slope of zero indicates a horizontal line, meaning there is no change in y as x changes.

Front

What is the significance of an undefined slope?

Back

An undefined slope occurs in a vertical line, where x remains constant while y changes.

Front

How do you interpret the slope in a real-world context?

Back

In a real-world context, the slope represents the rate of change between two quantities, such as speed or cost per item.