Finding Slope from a Graph Flashcard

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'rise over run'.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as you move from left to right, the line rises.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as you move from left to right, the line falls.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal and does not rise or fall.

Front

What does an undefined slope mean?

Back

An undefined slope means the line is vertical and cannot be expressed as a ratio of rise to run.

Front

If a line rises 3 units for every 2 units it runs, what is the slope?

Back

The slope is 3/2.

Front

If a line falls 4 units for every 1 unit it runs, what is the slope?

Back

The slope is -4/1 or -4.

Front

What is the slope of a line that goes through the points (1, 2) and (3, 6)?

Back

The slope is (6 - 2) / (3 - 1) = 4/2 = 2.

Front

What is the slope of a line that goes through the points (2, 3) and (2, 5)?

Back

The slope is undefined because the x-coordinates are the same.