Slope Practice

Front

What is the definition of slope?

Back

The slope of a line is a measure of its steepness, usually represented as 'm', calculated as the change in y (rise) over the change in x (run).

Front

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

Back

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

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

If two lines are parallel, what can be said about their slopes?

Back

If two lines are parallel, they have the same slope.

Front

If two lines are perpendicular, how are their slopes related?

Back

If two lines are perpendicular, the product of their slopes is -1.

Front

What is the slope of a line that passes through the points (2, 3) and (4, 7)?

Back

Slope (m) = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

What does the slope represent in a real-world context, such as a graph of water drainage?

Back

The slope represents the rate at which water drains, for example, gallons per hour.