Slope from Graphs

Front

What is the definition of slope?

Back

The 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.

Front

How do you calculate slope using a graph?

Back

Slope is calculated using the formula: Slope = Rise / 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 is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line rises 3 units for every 4 units it runs, what is the slope?

Back

The slope is 3/4.

Front

If a line falls 4 units for every 3 units it runs, what is the slope?

Back

The slope is -4/3.

Front

What is the slope of a line that does not change in height as it moves horizontally?

Back

The slope is 0 (horizontal line).

Front

What is the slope of a line that goes down as it moves to the right?

Back

The slope is negative.