Slope of a Line: Rise over Run & Slope Formula

Front

What is the definition of slope?

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) between two points on the line.

Front

What does 'rise over run' mean in the context of slope?

Back

'Rise over run' refers to the formula used to calculate the slope of a line, where 'rise' is the change in the y-coordinates and 'run' is the change in the x-coordinates between two points.

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line that rises 3 units and runs 4 units?

Back

The slope is 3/4.

Front

What is the slope of a line that falls 2 units and runs 5 units?

Back

The slope is -2/5.

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

If a line has a slope of 2, what does this mean in terms of rise and run?

Back

It means that for every 2 units of rise, there is 1 unit of run.