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 a slope of zero mean?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does an undefined slope mean?

Back

An undefined slope occurs in a vertical line where the x-value does not change, leading to division by zero in the slope formula.

Tags

CCSS.8.EE.B.5

Front

If a line rises 3 units for every 4 units it runs, what is the slope?

Back

Slope = 3/4

Tags

CCSS.8.EE.B.5

Front

If a line falls 2 units for every 1 unit it runs, what is the slope?

Back

Slope = -2/1 or -2

Tags

CCSS.8.EE.B.5

Front

How can you determine the slope from a graph visually?

Back

To determine the slope visually, select two points on the line, count the vertical rise and horizontal run between them, and calculate the slope using rise/run.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that goes through the points (1, 2) and (3, 6)?

Back

Slope = (6 - 2) / (3 - 1) = 4/2 = 2

Tags

CCSS.8.EE.B.5