Finding slope from graph.

Front

What is slope?

Back

Slope is a measure of the steepness of a line, calculated as the change in vertical distance (rise) over the change in horizontal distance (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, 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, indicating that there is no change in x as y changes.

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

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 goes down from left to right?

Back

The slope is negative.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 3, what does this mean in terms of rise and run?

Back

For every 1 unit increase in x (run), y increases by 3 units (rise).

Tags

CCSS.8.EE.B.5

Front

What is the rate of change in a linear relationship?

Back

The rate of change is the same as the slope, representing how much y changes for a change in x.

Tags

CCSS.HSF-LE.A.1B