Finding Slope

Front

What is the definition of slope?

Back

The slope is a measure of the steepness of a line, calculated as the change in y (rise) divided by the change in x (run).

Front

What is the formula to calculate slope?

Back

Slope (m) = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, showing a downward trend.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal, indicating no change in y as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs in vertical lines where x does not change, leading to division by zero.

Front

How can you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, determine the rise and run between them, and calculate the slope using the formula.

Front

What is the slope of the line represented by the equation y = mx + b?

Back

The slope of the line is represented by the coefficient m in the equation.

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

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

Back

The slope of a perfectly vertical line is undefined.