ADV Slope Flashcard

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) 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 through the points (6, -12) and (15, -3)?

Back

The slope is 1.

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.

Front

What is the slope of the line that passes through (10, 1) and (5, 2)?

Back

The slope is -1/5.

Front

What does an undefined slope mean?

Back

An undefined slope means the line is vertical, and there is no change in x.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.