slope formula

Front

What is the slope formula?

Back

The slope formula is given by m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on a line.

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, showing 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, showing a downward trend.

Tags

CCSS.8.EE.B.5

Front

What does a slope of zero mean?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does an undefined slope mean?

Back

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

Tags

CCSS.8.EE.B.5

Front

Calculate the slope between the points (1, 2) and (3, 6).

Back

m = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Tags

CCSS.8.EE.B.5

Front

Calculate the slope between the points (0, 0) and (4, 4).

Back

m = (4 - 0) / (4 - 0) = 4 / 4 = 1.

Tags

CCSS.8.EE.B.5

Front

Calculate the slope between the points (2, 3) and (2, 5).

Back

The slope is undefined because the x-values are the same (2).

Tags

CCSS.8.EE.B.5

Front

Calculate the slope between the points (-1, -1) and (2, 2).

Back

m = (2 - (-1)) / (2 - (-1)) = 3 / 3 = 1.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3, which is the coefficient of x.

Tags

CCSS.8.EE.B.5