Slope of A line

Front

What is the definition of slope?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x.

Front

What is a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases. The line rises from left to right.

Front

What is a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases. The line falls from left to right.

Front

What is zero slope?

Back

A zero slope means that the line is horizontal, indicating that there is no change in y as x changes.

Front

What is an undefined slope?

Back

An undefined slope occurs when a line is vertical, meaning that there is no change in x as y changes.

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

Find the slope of the line that passes through (10, 1) and (5, 2).

Back

The slope is -1/5.

Front

What does the slope represent in a real-world context?

Back

The slope represents the rate of change, such as speed, growth rate, or any other quantity that changes over time.

Front

What is the slope of a line that is perfectly vertical?

Back

The slope of a perfectly vertical line is undefined.

Front

What is the slope of a line that is perfectly horizontal?

Back

The slope of a perfectly horizontal line is zero.