Positive or Negative Slope from a Graph

Front

What is a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend on a graph.

Front

What is a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend on a graph.

Front

How can you identify a positive slope on a graph?

Back

A positive slope can be identified by a line that rises from left to right.

Front

How can you identify a negative slope on a graph?

Back

A negative slope can be identified by a line that falls from left to right.

Front

What does a slope of zero indicate?

Back

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

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, meaning x does not change as y changes.

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 significance of slope in real-world applications?

Back

Slope is used to determine rates of change, such as speed, growth, and trends in data.

Front

What does a steep slope indicate?

Back

A steep slope indicates a large change in y for a small change in x, representing a rapid rate of change.

Front

What does a gentle slope indicate?

Back

A gentle slope indicates a small change in y for a larger change in x, representing a slow rate of change.