Finding Slope from a Graph Flashcard

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 change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Tags

CCSS.8.EE.B.5

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, determine the rise (change in y) and run (change in x) between these points, and then divide rise by run.

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 does a slope of zero mean?

Back

A slope of zero means the line is horizontal, indicating that there is 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 in vertical lines where the change in x is zero, meaning the line does not have a defined slope.

Tags

CCSS.8.EE.B.5

Front

If a line passes through the points (2, 3) and (4, 7), what is the slope?

Back

The slope is (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 1/2, what does this mean in terms of rise and run?

Back

For every 1 unit the line rises, it runs 2 units horizontally.

Tags

CCSS.8.EE.B.5

Front

How can you simplify the slope -4/8?

Back

The simplified slope is -1/2.

Tags

CCSS.8.EE.B.5