Slope of Graphs

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 between 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-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?

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 0, as there is no vertical 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

If a line has a slope of 3/4, what does this mean in terms of rise and run?

Back

For every 4 units moved horizontally (run), the line rises 3 units vertically (rise).

Tags

CCSS.8.EE.B.5

Front

How can you determine if a slope is steep?

Back

A slope is considered steep if its absolute value is greater than 1, indicating a larger rise compared to run.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2.

Tags

CCSS.8.EE.B.5

Front

If two lines are parallel, what can be said about their slopes?

Back

Parallel lines have the same slope.

Tags

CCSS.8.EE.B.6