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).

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.

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.

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.

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.

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.

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.

Front

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

Back

The slope is negative.

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.

Front

How can you simplify the slope -4/8?

Back

The simplified slope is -1/2.