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 (rise) over the change in x (run).

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate?

Back

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

Tags

CCSS.8.EE.B.5

Front

What is a zero slope?

Back

A zero slope indicates a horizontal line where 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 in a vertical line where the change in x is zero, leading to division by zero.

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Tags

CCSS.8.EE.B.5

Front

If a line passes through the points (2, 3) and (4, 7), what is the slope?

Back

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

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

Front

If a line has a slope of 4, what does this mean in terms of rise over run?

Back

For every 4 units of rise, there is a 1 unit run.

Tags

CCSS.8.EE.B.5