slope

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

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 a line that rises 3 units for every 4 units it runs?

Back

Front

What is the slope of a line that falls 2 units for every 5 units it runs?

Back

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

If a line has a slope of 1, what does this indicate about the line?

Back

A slope of 1 indicates that for every 1 unit the line rises, it also runs 1 unit horizontally, creating a 45-degree angle with the x-axis.

Front

What is the slope of the line containing the points (−2, −4) and (6, 4)?

Back

The slope is 1.

Front

What is the slope of the line represented by the equation y = 4x + 3?

Back

The slope is 4.

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that the line falls steeply; for every 3 units it falls, it runs 1 unit horizontally.