Types of Slopes & Calculating Slopes Using "Rise over Run"

Front

What is a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend on a graph.

Front

What is a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend on a graph.

Front

What does a zero slope represent?

Back

A zero slope represents a horizontal line where there is no change in y as x changes.

Front

What does an undefined slope represent?

Back

An undefined slope represents a vertical line where there is no change in x as y changes.

Front

What is the formula for calculating slope?

Back

Slope (m) = Rise / Run, where 'rise' is the change in y and 'run' is the change in x.

Front

If a line rises 3 units and runs 4 units, what is the slope?

Back

The slope is 3/4.

Front

If a line falls 5 units and runs 2 units, what is the slope?

Back

The slope is -5/2.

Front

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

Back

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

Front

What is the slope of a line that goes through the points (1, 2) and (3, 6)?

Back

The slope is (6 - 2) / (3 - 1) = 4/2 = 2.

Front

What does a slope of 1 indicate?

Back

A slope of 1 indicates that for every unit increase in x, y increases by the same amount, resulting in a 45-degree angle line.