A.3A- Slope

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm'. It is calculated as the change in y (rise) divided by 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 is the slope of the line that passes through the points (-2, -2) and (4, 2)?

Back

The slope is 2/3.

Front

What is the slope of the line that passes through the points (−3, 1) and (5, 8)?

Back

The slope is 7/8.

Front

What is the slope of the line represented by the equation y = 12x – 19?

Back

The slope is 12.

Front

What is the slope of the line that passes through the points (5, –11) and (–9, 17)?

Back

The slope is -2.

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 horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.