Slope of a Graph

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the vertical change (rise) to the horizontal change (run).

Front

How do you calculate the slope between 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 the x-value increases, the y-value also increases, 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-value increases, the y-value decreases, 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

What is the formula for slope?

Back

Slope (m) = rise/run.

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 1 unit it runs, what is the slope?

Back

The slope is -4/1 or -4.

Front

What does it mean if a slope is undefined?

Back

An undefined slope means the line is vertical, and there is no horizontal change.