Slope from a Graph

Front

What is the definition of slope?

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.

Front

What is a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend on the graph.

Front

What is a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend on the graph.

Front

What does a zero slope represent?

Back

A zero slope represents a horizontal line where there is no vertical change as the x-value changes.

Front

What does an undefined slope represent?

Back

An undefined slope represents a vertical line where there is no horizontal change as the x-value changes.

Front

How do you calculate slope using rise/run?

Back

Slope = Rise / Run, where 'rise' is the vertical change and 'run' is the horizontal change between two points.

Front

Find the slope of a line that rises 3 units for every 1 unit it runs.

Back

The slope is 3.

Front

Find the slope of a line that falls 5 units for every 3 units it runs.

Back

The slope is -5/3.

Front

If a line has a slope of 0, what type of line is it?

Back

It is a horizontal line.

Front

If a line has a slope of -2, what does this indicate about the line's direction?

Back

The line is decreasing, moving downward from left to right.