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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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).

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope is -1/5.

Tags

CCSS.8.EE.B.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.

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope of a perfectly vertical line is undefined.

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope of a perfectly horizontal line is zero.

Tags

CCSS.8.EE.B.5