Calculating Slope

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented 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

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What is the slope of a line that rises 3 units for every 4 units it runs?

Back

The slope is 3/4.

Front

What is the slope of a line that falls 5 units for every 3 units it runs?

Back

The slope is -5/3.

Front

What type of slope does a line with a positive slope have?

Back

A line with a positive slope rises from left to right.

Front

What type of slope does a line with a negative slope have?

Back

A line with a negative slope 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

If a line has a slope of 4/3, what does this indicate about its steepness?

Back

A slope of 4/3 indicates a relatively steep line that rises quickly.

Front

If a line has a slope of -3/4, what does this indicate about its direction?

Back

A slope of -3/4 indicates that the line falls as it moves from left to right.