Slope from a Graph

Front

What is the slope of a line?

Back

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

Front

How is slope calculated?

Back

Slope (m) = rise/run = (y2 - y1) / (x2 - x1) for two points (x1, y1) and (x2, y2).

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 zero slope?

Back

Zero slope indicates a horizontal line where there is no change in y as x changes.

Front

What is undefined slope?

Back

Undefined slope occurs in vertical lines where there is no change in x, leading to division by zero.

Front

What is the formula for slope?

Back

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

Front

If a line rises from left to right, what type of slope does it have?

Back

The line has a positive slope.

Front

If a line falls from left to right, what type of slope does it have?

Back

The line has a negative slope.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.