Finding slope from graph.

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a line?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the change in x is zero, making the slope calculation impossible.

Tags

CCSS.8.EE.B.5

Front

What does a slope of zero indicate?

Back

A slope of zero indicates a horizontal line, where there is no change in y as x changes.

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

If a line has a slope of -3/2, what does this tell you about the line's direction?

Back

The line falls as it moves from left to right, indicating a negative relationship between x and y.

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 0.

Tags

CCSS.8.EE.B.5