Slope from a 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

What does a positive slope indicate about a line on a graph?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line on a graph?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line falls from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero, indicating no vertical change as the x-values change.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as there is no horizontal change.

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that goes down from left to right?

Back

The slope of a line that goes down from left to right is negative.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of -1, what does this mean in terms of rise and run?

Back

A slope of -1 means that for every 1 unit the line rises (up), it runs 1 unit to the left, or for every 1 unit it runs to the right, it falls 1 unit.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that rises 4 units for every 1 unit it runs to the right?

Back

The slope of the line is 4, which can also be expressed as 4/1.

Tags

CCSS.8.EE.B.5

Front

What is the relationship between slope and the angle of inclination of a line?

Back

The slope of a line is related to the angle of inclination; a steeper line has a greater slope, while a less steep line has a smaller slope.

Tags

CCSS.8.EE.B.5