Finding Slope

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) over the change in x (run).

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

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

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x is zero, leading to division by zero.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero because there is no change in y as x changes.

Front

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

Back

The slope is 2.

Front

Find the slope of the line that passes through the points (10, 1) and (5, 2).

Back

The slope is -1/5.

Front

What happens to the slope when the denominator is zero?

Back

The slope is undefined when the denominator is zero.

Front

Find the slope of the line that passes through the points (1, -2) and (7, -3).

Back

The slope is -1/6.